39742718400 has 1008 divisors, whose sum is σ = 178886193408. Its totient is φ = 8128512000.

The previous prime is 39742718381. The next prime is 39742718441. The reversal of 39742718400 is 481724793.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 80942155 + ... + 80942645.

Almost surely, 2^39742718400 is an apocalyptic number.

39742718400 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 39742718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89443096704).

39742718400 is an abundant number, since it is smaller than the sum of its proper divisors (139143475008).

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

39742718400 is a wasteful number, since it uses less digits than its factorization.

39742718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 39742718400 in words is "thirty-nine billion, seven hundred forty-two million, seven hundred eighteen thousand, four hundred".