1337704434440 has 64 divisors (see below), whose sum is σ = 3328435272960. Its totient is φ = 479774430720.

The previous prime is 1337704434433. The next prime is 1337704434457. The reversal of 1337704434440 is 444344077331.

It is a super-2 number, since 2×1337704434440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1337704434391 and 1337704434400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20791424 + ... + 20855663.

It is an arithmetic number, because the mean of its divisors is an integer number (52006801140).

Almost surely, 2^{1337704434440} is an apocalyptic number.

1337704434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1337704434440 is an abundant number, since it is smaller than the sum of its proper divisors (1990730838520).

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

1337704434440 is a wasteful number, since it uses less digits than its factorization.

1337704434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41647182 (or 41647178 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 44.

The spelling of 1337704434440 in words is "one trillion, three hundred thirty-seven billion, seven hundred four million, four hundred thirty-four thousand, four hundred forty".