381941222400 has 1056 divisors, whose sum is σ = 1494539264000. Its totient is φ = 95312609280.

The previous prime is 381941222371. The next prime is 381941222431. The reversal of 381941222400 is 4222149183.

381941222400 is a `hidden beast` number, since 3 + 8 + 19 + 412 + 224 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667865486 + ... + 1667865714.

Almost surely, 2^381941222400 is an apocalyptic number.

381941222400 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 381941222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747269632000).

381941222400 is an abundant number, since it is smaller than the sum of its proper divisors (1112598041600).

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

381941222400 is a wasteful number, since it uses less digits than its factorization.

381941222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 381941222400 in words is "three hundred eighty-one billion, nine hundred forty-one million, two hundred twenty-two thousand, four hundred".