1338104557440 has 192 divisors, whose sum is σ = 5280734216160. Its totient is φ = 305852461056.

The previous prime is 1338104557429. The next prime is 1338104557457. The reversal of 1338104557440 is 447554018331.

1338104557440 is a `hidden beast` number, since 1 + 3 + 38 + 1 + 0 + 4 + 5 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16553239 + ... + 16633878.

Almost surely, 2^{1338104557440} is an apocalyptic number.

1338104557440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338104557440 is an abundant number, since it is smaller than the sum of its proper divisors (3942629658720).

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

1338104557440 is a wasteful number, since it uses less digits than its factorization.

1338104557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33187149 (or 33187134 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1338104557440 in words is "one trillion, three hundred thirty-eight billion, one hundred four million, five hundred fifty-seven thousand, four hundred forty".