380023781558400 has 1152 divisors, whose sum is σ = 1604169673891200. Its totient is φ = 83814857441280.

The previous prime is 380023781558353. The next prime is 380023781558413. The reversal of 380023781558400 is 4855187320083.

380023781558400 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 2 + 3 + 7 + 81 + 558 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×380023781558400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9745929304 + ... + 9745968296.

It is an arithmetic number, because the mean of its divisors is an integer number (1392508397475).

Almost surely, 2^{380023781558400} is an apocalyptic number.

380023781558400 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 380023781558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802084836945600).

380023781558400 is an abundant number, since it is smaller than the sum of its proper divisors (1224145892332800).

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

380023781558400 is a wasteful number, since it uses less digits than its factorization.

380023781558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40726 (or 40706 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 380023781558400 in words is "three hundred eighty trillion, twenty-three billion, seven hundred eighty-one million, five hundred fifty-eight thousand, four hundred".