1438104624100 has 27 divisors (see below), whose sum is σ = 3120713057371. Its totient is φ = 575237052800.

The previous prime is 1438104624097. The next prime is 1438104624113. The reversal of 1438104624100 is 14264018341.

The square root of 1438104624100 is 1199210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 162849374116 + 1275255249984 = 403546^2 + 1129272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11932140 + ... + 12052060.

Almost surely, 2^{1438104624100} is an apocalyptic number.

1438104624100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1438104624100 is the 1199210-th square number.

It is an amenable number.

1438104624100 is an abundant number, since it is smaller than the sum of its proper divisors (1682608433271).

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

1438104624100 is an frugal number, since it uses more digits than its factorization.

1438104624100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239856 (or 119928 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 1438104624100 in words is "one trillion, four hundred thirty-eight billion, one hundred four million, six hundred twenty-four thousand, one hundred".