7138400511528 has 96 divisors (see below), whose sum is σ = 22713092569440. Its totient is φ = 1996755384960.

The previous prime is 7138400511527. The next prime is 7138400511607. The reversal of 7138400511528 is 8251150048317.

7138400511528 is a `hidden beast` number, since 7 + 1 + 3 + 84 + 0 + 0 + 511 + 52 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7138400511527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346648626 + ... + 346669217.

It is an arithmetic number, because the mean of its divisors is an integer number (236594714265).

Almost surely, 2^{7138400511528} is an apocalyptic number.

7138400511528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7138400511528 is an abundant number, since it is smaller than the sum of its proper divisors (15574692057912).

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

7138400511528 is a wasteful number, since it uses less digits than its factorization.

7138400511528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693317879 (or 693317872 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 7138400511528 in words is "seven trillion, one hundred thirty-eight billion, four hundred million, five hundred eleven thousand, five hundred twenty-eight".