7138703400192 has 1728 divisors, whose sum is σ = 27341695180800. Its totient is φ = 1740040372224.

The previous prime is 7138703400187. The next prime is 7138703400211. The reversal of 7138703400192 is 2910043078317.

It is a super-2 number, since 2×7138703400192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35872881309 + ... + 35872881507.

Almost surely, 2^{7138703400192} is an apocalyptic number.

7138703400192 is a gapful number since it is divisible by the number (72) 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 7138703400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670847590400).

7138703400192 is an abundant number, since it is smaller than the sum of its proper divisors (20202991780608).

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

7138703400192 is a wasteful number, since it uses less digits than its factorization.

7138703400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 7138703400192 in words is "seven trillion, one hundred thirty-eight billion, seven hundred three million, four hundred thousand, one hundred ninety-two".