39738146006400 has 192 divisors, whose sum is σ = 131275919358480. Its totient is φ = 10565393448960.

The previous prime is 39738146006389. The next prime is 39738146006411. The reversal of 39738146006400 is 460064183793.

It is an interprime number because it is at equal distance from previous prime (39738146006389) and next prime (39738146006411).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906329 + ... + 9376728.

Almost surely, 2^{39738146006400} is an apocalyptic number.

39738146006400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39738146006400 is an abundant number, since it is smaller than the sum of its proper divisors (91537773352080).

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

39738146006400 is a wasteful number, since it uses less digits than its factorization.

39738146006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283421 (or 12283404 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 39738146006400 in words is "thirty-nine trillion, seven hundred thirty-eight billion, one hundred forty-six million, six thousand, four hundred".