38953175040 has 864 divisors, whose sum is σ = 152209086120. Its totient is φ = 9201254400.

The previous prime is 38953175039. The next prime is 38953175069. The reversal of 38953175040 is 4057135983.

38953175040 is a `hidden beast` number, since 3 + 8 + 9 + 531 + 75 + 0 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14376969216 + 24576205824 = 119904^2 + 156768^2 .

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 71 ways as a sum of consecutive naturals, for example, 638576610 + ... + 638576670.

Almost surely, 2^38953175040 is an apocalyptic number.

38953175040 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 38953175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76104543060).

38953175040 is an abundant number, since it is smaller than the sum of its proper divisors (113255911080).

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

38953175040 is a wasteful number, since it uses less digits than its factorization.

38953175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 38953175040 in words is "thirty-eight billion, nine hundred fifty-three million, one hundred seventy-five thousand, forty".