38500899422400 has 504 divisors, whose sum is σ = 142858151448480. Its totient is φ = 9815894753280.

The previous prime is 38500899422389. The next prime is 38500899422441. The reversal of 38500899422400 is 422499800583.

38500899422400 is a `hidden beast` number, since 3 + 8 + 50 + 0 + 89 + 94 + 22 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 732919336 + ... + 732971864.

Almost surely, 2^{38500899422400} is an apocalyptic number.

38500899422400 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 38500899422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71429075724240).

38500899422400 is an abundant number, since it is smaller than the sum of its proper divisors (104357252026080).

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

38500899422400 is a wasteful number, since it uses less digits than its factorization.

38500899422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54793 (or 54775 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38500899422400 in words is "thirty-eight trillion, five hundred billion, eight hundred ninety-nine million, four hundred twenty-two thousand, four hundred".