7138400831520 has 192 divisors, whose sum is σ = 25808538712320. Its totient is φ = 1624631574528.

The previous prime is 7138400831491. The next prime is 7138400831599. The reversal of 7138400831520 is 251380048317.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3776185 + ... + 5341944.

It is an arithmetic number, because the mean of its divisors is an integer number (134419472460).

Almost surely, 2^{7138400831520} is an apocalyptic number.

7138400831520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7138400831520 is an abundant number, since it is smaller than the sum of its proper divisors (18670137880800).

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

7138400831520 is a wasteful number, since it uses less digits than its factorization.

7138400831520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118387 (or 9118379 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 7138400831520 its reverse (251380048317), we get a palindrome (7389780879837).

The spelling of 7138400831520 in words is "seven trillion, one hundred thirty-eight billion, four hundred million, eight hundred thirty-one thousand, five hundred twenty".