39490982117100 has 216 divisors, whose sum is σ = 128443955185728. Its totient is φ = 10524600475200.

The previous prime is 39490982116987. The next prime is 39490982117141. The reversal of 39490982117100 is 171128909493.

39490982117100 is a `hidden beast` number, since 3 + 9 + 490 + 9 + 82 + 1 + 1 + 71 + 0 + 0 = 666.

It is a super-2 number, since 2×39490982117100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40020655 + ... + 40995545.

Almost surely, 2^{39490982117100} is an apocalyptic number.

39490982117100 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 39490982117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64221977592864).

39490982117100 is an abundant number, since it is smaller than the sum of its proper divisors (88952973068628).

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

39490982117100 is a wasteful number, since it uses less digits than its factorization.

39490982117100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976587 (or 976568 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 39490982117100 in words is "thirty-nine trillion, four hundred ninety billion, nine hundred eighty-two million, one hundred seventeen thousand, one hundred".