381075386400 has 720 divisors, whose sum is σ = 1519057774080. Its totient is φ = 92548915200.

The previous prime is 381075386389. The next prime is 381075386401. The reversal of 381075386400 is 4683570183.

381075386400 is a `hidden beast` number, since 3 + 8 + 107 + 538 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (381075386401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34144021 + ... + 34155179.

It is an arithmetic number, because the mean of its divisors is an integer number (2109802464).

Almost surely, 2^381075386400 is an apocalyptic number.

381075386400 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 381075386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759528887040).

381075386400 is an abundant number, since it is smaller than the sum of its proper divisors (1137982387680).

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

381075386400 is a wasteful number, since it uses less digits than its factorization.

381075386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11239 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 381075386400 in words is "three hundred eighty-one billion, seventy-five million, three hundred eighty-six thousand, four hundred".