38942797420800 has 4536 divisors, whose sum is σ = 185534120014656. Its totient is φ = 7875114762240.

The previous prime is 38942797420781. The next prime is 38942797420811. The reversal of 38942797420800 is 802479724983.

38942797420800 is a `hidden beast` number, since 3 + 8 + 9 + 42 + 7 + 97 + 420 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-4 number, since 4×38942797420800⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 581235782367 + ... + 581235782433.

Almost surely, 2^{38942797420800} is an apocalyptic number.

38942797420800 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 38942797420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92767060007328).

38942797420800 is an abundant number, since it is smaller than the sum of its proper divisors (146591322593856).

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

38942797420800 is an equidigital number, since it uses as much as digits as its factorization.

38942797420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 38942797420800 in words is "thirty-eight trillion, nine hundred forty-two billion, seven hundred ninety-seven million, four hundred twenty thousand, eight hundred".