38250455040 has 896 divisors, whose sum is σ = 159919050240. Its totient is φ = 8599633920.

The previous prime is 38250455011. The next prime is 38250455051. The reversal of 38250455040 is 4055405283.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×38250455040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38250454986 and 38250455004.

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, 627056610 + ... + 627056670.

Almost surely, 2^38250455040 is an apocalyptic number.

38250455040 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 38250455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79959525120).

38250455040 is an abundant number, since it is smaller than the sum of its proper divisors (121668595200).

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

38250455040 is an frugal number, since it uses more digits than its factorization.

38250455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 38250455040 in words is "thirty-eight billion, two hundred fifty million, four hundred fifty-five thousand, forty".