1338787164400 has 60 divisors (see below), whose sum is σ = 3675927050512. Its totient is φ = 459012741120.

The previous prime is 1338787164383. The next prime is 1338787164419. The reversal of 1338787164400 is 44617878331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239066337 + ... + 239071936.

Almost surely, 2^{1338787164400} is an apocalyptic number.

1338787164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338787164400 is an abundant number, since it is smaller than the sum of its proper divisors (2337139886112).

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

1338787164400 is a wasteful number, since it uses less digits than its factorization.

1338787164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478138298 (or 478138287 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 1338787164400 in words is "one trillion, three hundred thirty-eight billion, seven hundred eighty-seven million, one hundred sixty-four thousand, four hundred".