1337038940416 has 27 divisors (see below), whose sum is σ = 2668892002441. Its totient is φ = 668510219776.

The previous prime is 1337038940357. The next prime is 1337038940417. The reversal of 1337038940416 is 6140498307331.

It is a happy number.

The square root of 1337038940416 is 1156304.

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

It can be written as a sum of positive squares in only one way, i.e., 430734940416 + 906304000000 = 656304^2 + 952000^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1337038940416.

It is not an unprimeable number, because it can be changed into a prime (1337038940417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18464730 + ... + 18536998.

Almost surely, 2^{1337038940416} is an apocalyptic number.

1337038940416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1337038940416 is the 1156304-th square number.

It is an amenable number.

1337038940416 is a deficient number, since it is larger than the sum of its proper divisors (1331853062025).

1337038940416 is an frugal number, since it uses more digits than its factorization.

1337038940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144554 (or 72271 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 1337038940416 by its sum of digits (49), we get a square (65514908080384 = 8094128²).

The spelling of 1337038940416 in words is "one trillion, three hundred thirty-seven billion, thirty-eight million, nine hundred forty thousand, four hundred sixteen".