381431107200 has 1728 divisors, whose sum is σ = 1569982327200. Its totient is φ = 81181900800.

The previous prime is 381431107159. The next prime is 381431107207. The reversal of 381431107200 is 2701134183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (381431107207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5693001567 + ... + 5693001633.

Almost surely, 2^381431107200 is an apocalyptic number.

381431107200 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 381431107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784991163600).

381431107200 is an abundant number, since it is smaller than the sum of its proper divisors (1188551220000).

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

381431107200 is a wasteful number, since it uses less digits than its factorization.

381431107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 381431107200 in words is "three hundred eighty-one billion, four hundred thirty-one million, one hundred seven thousand, two hundred".