38955585756480 has 224 divisors, whose sum is σ = 124792647974784. Its totient is φ = 10295060987904.

The previous prime is 38955585756469. The next prime is 38955585756509. The reversal of 38955585756480 is 8465758555983.

38955585756480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6241441²-1.

It is a junction number, because it is equal to n+sod(n) for n = 38955585756396 and 38955585756405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410551632 + ... + 1410579248.

Almost surely, 2^{38955585756480} is an apocalyptic number.

38955585756480 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 38955585756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62396323987392).

38955585756480 is an abundant number, since it is smaller than the sum of its proper divisors (85837062218304).

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

38955585756480 is a wasteful number, since it uses less digits than its factorization.

38955585756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40753 (or 40743 counting only the distinct ones).

The product of its (nonzero) digits is 7257600000, while the sum is 78.

The spelling of 38955585756480 in words is "thirty-eight trillion, nine hundred fifty-five billion, five hundred eighty-five million, seven hundred fifty-six thousand, four hundred eighty".