380567400192 has 1152 divisors, whose sum is σ = 1450487808000. Its totient is φ = 95909806080.

The previous prime is 380567400181. The next prime is 380567400197. The reversal of 380567400192 is 291004765083.

380567400192 is a `hidden beast` number, since 3 + 8 + 0 + 56 + 7 + 400 + 192 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380567400197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866895909 + ... + 866896347.

It is an arithmetic number, because the mean of its divisors is an integer number (1259104000).

It is a 1-persistent number, because it is pandigital, but 2⋅380567400192 = 761134800384 is not.

Almost surely, 2^380567400192 is an apocalyptic number.

380567400192 is a gapful number since it is divisible by the number (32) 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 380567400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904000).

380567400192 is an abundant number, since it is smaller than the sum of its proper divisors (1069920407808).

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

380567400192 is a wasteful number, since it uses less digits than its factorization.

380567400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 380567400192 in words is "three hundred eighty billion, five hundred sixty-seven million, four hundred thousand, one hundred ninety-two".