39172439040 has 704 divisors, whose sum is σ = 157052390400. Its totient is φ = 8125415424.

The previous prime is 39172438999. The next prime is 39172439093. The reversal of 39172439040 is 4093427193.

39172439040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39172439040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 39172438983 and 39172439001.

It is a congruent number.

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, 53006991 + ... + 53007729.

Almost surely, 2^39172439040 is an apocalyptic number.

39172439040 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 39172439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78526195200).

39172439040 is an abundant number, since it is smaller than the sum of its proper divisors (117879951360).

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

39172439040 is a wasteful number, since it uses less digits than its factorization.

39172439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 39172439040 in words is "thirty-nine billion, one hundred seventy-two million, four hundred thirty-nine thousand, forty".