3410980509456 has 135 divisors (see below), whose sum is σ = 10337674699989. Its totient is φ = 1049443814016.

The previous prime is 3410980509439. The next prime is 3410980509467. The reversal of 3410980509456 is 6549050890143.

The square root of 3410980509456 is 1846884.

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

3410980509456 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 9 + 80 + 509 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504582915600 + 2906397593856 = 710340^2 + 1704816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288107985 + ... + 288119823.

Almost surely, 2^{3410980509456} is an apocalyptic number.

3410980509456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3410980509456 is the 1846884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410980509456

3410980509456 is an abundant number, since it is smaller than the sum of its proper divisors (6926694190533).

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

3410980509456 is an equidigital number, since it uses as much as digits as its factorization.

3410980509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23718 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3410980509456 in words is "three trillion, four hundred ten billion, nine hundred eighty million, five hundred nine thousand, four hundred fifty-six".