38613467543040 has 2400 divisors, whose sum is σ = 156204148294656. Its totient is φ = 9059714334720.

The previous prime is 38613467543033. The next prime is 38613467543117. The reversal of 38613467543040 is 4034576431683.

38613467543040 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 34 + 67 + 543 + 0 + 4 + 0 = 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 239 ways as a sum of consecutive naturals, for example, 304043051457 + ... + 304043051583.

Almost surely, 2^{38613467543040} is an apocalyptic number.

38613467543040 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 38613467543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78102074147328).

38613467543040 is an abundant number, since it is smaller than the sum of its proper divisors (117590680751616).

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

38613467543040 is a wasteful number, since it uses less digits than its factorization.

38613467543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 38613467543040 in words is "thirty-eight trillion, six hundred thirteen billion, four hundred sixty-seven million, five hundred forty-three thousand, forty".