38403947520000 has 840 divisors, whose sum is σ = 139505840234904. Its totient is φ = 10176233472000.

The previous prime is 38403947519999. The next prime is 38403947520013. The reversal of 38403947520000 is 2574930483.

38403947520000 is a `hidden beast` number, since 3 + 84 + 0 + 3 + 9 + 47 + 520 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7511037444 + ... + 7511042556.

Almost surely, 2^{38403947520000} is an apocalyptic number.

38403947520000 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 38403947520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69752920117452).

38403947520000 is an abundant number, since it is smaller than the sum of its proper divisors (101101892714904).

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

38403947520000 is an equidigital number, since it uses as much as digits as its factorization.

38403947520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 38403947520000 in words is "thirty-eight trillion, four hundred three billion, nine hundred forty-seven million, five hundred twenty thousand".