38172733259040 has 384 divisors, whose sum is σ = 142372662163200. Its totient is φ = 9643636196352.

The previous prime is 38172733258943. The next prime is 38172733259069. The reversal of 38172733259040 is 4095233727183.

It is a happy number.

38172733259040 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 2 + 7 + 3 + 3 + 2 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3777694 + ... + 9519266.

It is an arithmetic number, because the mean of its divisors is an integer number (370762141050).

Almost surely, 2^{38172733259040} is an apocalyptic number.

38172733259040 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 38172733259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71186331081600).

38172733259040 is an abundant number, since it is smaller than the sum of its proper divisors (104199928904160).

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

38172733259040 is an equidigital number, since it uses as much as digits as its factorization.

38172733259040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741628 (or 5741602 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 38172733259040 in words is "thirty-eight trillion, one hundred seventy-two billion, seven hundred thirty-three million, two hundred fifty-nine thousand, forty".