380951996190480 has 4800 divisors, whose sum is σ = 1658718031126464. Its totient is φ = 80406577152000.

The previous prime is 380951996190457. The next prime is 380951996190509. The reversal of 380951996190480 is 84091699159083.

380951996190480 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 51 + 9 + 9 + 6 + 1 + 90 + 480 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 73035414997776 + 307916581192704 = 8546076^2 + 17547552^2 .

It is a super-3 number, since 3×380951996190480³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 380951996190399 and 380951996190408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2780671504972 + ... + 2780671505108.

Almost surely, 2^{380951996190480} is an apocalyptic number.

380951996190480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380951996190480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829359015563232).

380951996190480 is an abundant number, since it is smaller than the sum of its proper divisors (1277766034935984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380951996190480 is a wasteful number, since it uses less digits than its factorization.

380951996190480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

It can be divided in two parts, 3809519 and 96190480, that added together give a palindrome (99999999).

The spelling of 380951996190480 in words is "three hundred eighty trillion, nine hundred fifty-one billion, nine hundred ninety-six million, one hundred ninety thousand, four hundred eighty".