380321713981440 has 2688 divisors, whose sum is σ = 1806193208252160. Its totient is φ = 74377278259200.

The previous prime is 380321713981399. The next prime is 380321713981463. The reversal of 380321713981440 is 44189317123083.

380321713981440 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 21 + 71 + 39 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×380321713981440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9771613180 + ... + 9771652100.

It is an arithmetic number, because the mean of its divisors is an integer number (671946878070).

Almost surely, 2^{380321713981440} is an apocalyptic number.

380321713981440 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 380321713981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903096604126080).

380321713981440 is an abundant number, since it is smaller than the sum of its proper divisors (1425871494270720).

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

380321713981440 is a wasteful number, since it uses less digits than its factorization.

380321713981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39001 (or 38966 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 380321713981440 in words is "three hundred eighty trillion, three hundred twenty-one billion, seven hundred thirteen million, nine hundred eighty-one thousand, four hundred forty".