38431311468480 has 896 divisors, whose sum is σ = 156367959552000. Its totient is φ = 8703944294400.

The previous prime is 38431311468479. The next prime is 38431311468617. The reversal of 38431311468480 is 8486411313483.

38431311468480 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 13 + 1 + 146 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3735179176 + ... + 3735189464.

It is an arithmetic number, because the mean of its divisors is an integer number (174517812000).

Almost surely, 2^{38431311468480} is an apocalyptic number.

38431311468480 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 38431311468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78183979776000).

38431311468480 is an abundant number, since it is smaller than the sum of its proper divisors (117936648083520).

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

38431311468480 is a wasteful number, since it uses less digits than its factorization.

38431311468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 38431311468480 in words is "thirty-eight trillion, four hundred thirty-one billion, three hundred eleven million, four hundred sixty-eight thousand, four hundred eighty".