38401500480 has 448 divisors, whose sum is σ = 144528064512. Its totient is φ = 8453652480.

The previous prime is 38401500463. The next prime is 38401500503. The reversal of 38401500480 is 8400510483.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70203567 + ... + 70204113.

Almost surely, 2^38401500480 is an apocalyptic number.

38401500480 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 38401500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72264032256).

38401500480 is an abundant number, since it is smaller than the sum of its proper divisors (106126564032).

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

38401500480 is a wasteful number, since it uses less digits than its factorization.

38401500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 38401500480 in words is "thirty-eight billion, four hundred one million, five hundred thousand, four hundred eighty".