1372528938000 has 320 divisors, whose sum is σ = 4830854805504. Its totient is φ = 332489920000.

The previous prime is 1372528937971. The next prime is 1372528938017. The reversal of 1372528938000 is 8398252731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 99719119 + ... + 99732881.

Almost surely, 2^{1372528938000} is an apocalyptic number.

1372528938000 is a gapful number since it is divisible by the number (10) 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 1372528938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415427402752).

1372528938000 is an abundant number, since it is smaller than the sum of its proper divisors (3458325867504).

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

1372528938000 is a wasteful number, since it uses less digits than its factorization.

1372528938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15311 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1372528938000 in words is "one trillion, three hundred seventy-two billion, five hundred twenty-eight million, nine hundred thirty-eight thousand".