39469742400 has 672 divisors, whose sum is σ = 147968208000. Its totient is φ = 9123430400.

The previous prime is 39469742317. The next prime is 39469742453. The reversal of 39469742400 is 424796493.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39469742400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228148714 + ... + 228148886.

Almost surely, 2^39469742400 is an apocalyptic number.

39469742400 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 39469742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73984104000).

39469742400 is an abundant number, since it is smaller than the sum of its proper divisors (108498465600).

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

39469742400 is a wasteful number, since it uses less digits than its factorization.

39469742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 39469742400 in words is "thirty-nine billion, four hundred sixty-nine million, seven hundred forty-two thousand, four hundred".