38131172040 has 256 divisors, whose sum is σ = 130667281920. Its totient is φ = 8818606080.

The previous prime is 38131172033. The next prime is 38131172083. The reversal of 38131172040 is 4027113183.

It is a super-2 number, since 2×38131172040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38131171989 and 38131172007.

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, 23522430 + ... + 23524050.

It is an arithmetic number, because the mean of its divisors is an integer number (510419070).

Almost surely, 2^38131172040 is an apocalyptic number.

38131172040 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 38131172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65333640960).

38131172040 is an abundant number, since it is smaller than the sum of its proper divisors (92536109880).

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

38131172040 is a wasteful number, since it uses less digits than its factorization.

38131172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 38131172040 in words is "thirty-eight billion, one hundred thirty-one million, one hundred seventy-two thousand, forty".