38561460480 has 288 divisors, whose sum is σ = 141257733120. Its totient is φ = 9951068160.

The previous prime is 38561460463. The next prime is 38561460499. The reversal of 38561460480 is 8406416583.

38561460480 is a `hidden beast` number, since 3 + 8 + 561 + 4 + 6 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053364 + ... + 1089356.

It is an arithmetic number, because the mean of its divisors is an integer number (490478240).

Almost surely, 2^38561460480 is an apocalyptic number.

38561460480 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 38561460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70628866560).

38561460480 is an abundant number, since it is smaller than the sum of its proper divisors (102696272640).

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

38561460480 is a wasteful number, since it uses less digits than its factorization.

38561460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36054 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38561460480 in words is "thirty-eight billion, five hundred sixty-one million, four hundred sixty thousand, four hundred eighty".