39490505867232 has 432 divisors, whose sum is σ = 135535305879792. Its totient is φ = 11277927198720.

The previous prime is 39490505867179. The next prime is 39490505867243. The reversal of 39490505867232 is 23276850509493.

39490505867232 is a `hidden beast` number, since 3 + 9 + 4 + 90 + 505 + 8 + 6 + 7 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×39490505867232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 39490505867232.

It is a congruent number.

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, 891955048 + ... + 891999320.

It is an arithmetic number, because the mean of its divisors is an integer number (313739133981).

Almost surely, 2^{39490505867232} is an apocalyptic number.

39490505867232 is a gapful number since it is divisible by the number (32) 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 39490505867232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67767652939896).

39490505867232 is an abundant number, since it is smaller than the sum of its proper divisors (96044800012560).

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

39490505867232 is a wasteful number, since it uses less digits than its factorization.

39490505867232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46653 (or 46626 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 39490505867232 in words is "thirty-nine trillion, four hundred ninety billion, five hundred five million, eight hundred sixty-seven thousand, two hundred thirty-two".