1320435406404 has 45 divisors (see below), whose sum is σ = 3451933051567. Its totient is φ = 440138240856.

The previous prime is 1320435406391. The next prime is 1320435406471. The reversal of 1320435406404 is 4046045340231.

The square root of 1320435406404 is 1149102.

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

1320435406404 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 3 + 5 + 4 + 0 + 640 + 4 = 666.

It is a super-2 number, since 2×1320435406404² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20651917 + ... + 20715755.

Almost surely, 2^{1320435406404} is an apocalyptic number.

1320435406404 is the 1149102-nd square number.

It is an amenable number.

1320435406404 is an abundant number, since it is smaller than the sum of its proper divisors (2131497645163).

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

1320435406404 is an frugal number, since it uses more digits than its factorization.

1320435406404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127694 (or 63844 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 1320435406404 by its sum of digits (36), we get a square (47535674630544 = 6894612²).

1320435406404 divided by its sum of digits (36) gives a square (36678761289 = 191517²).

The spelling of 1320435406404 in words is "one trillion, three hundred twenty billion, four hundred thirty-five million, four hundred six thousand, four hundred four".