416956901284 has 135 divisors (see below), whose sum is σ = 937221129131. Its totient is φ = 162179537520.

The previous prime is 416956901239. The next prime is 416956901297. The reversal of 416956901284 is 482109659614.

The square root of 416956901284 is 645722.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 696088017 + ... + 696088615.

Almost surely, 2^416956901284 is an apocalyptic number.

416956901284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

416956901284 is the 645722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416956901284

416956901284 is an abundant number, since it is smaller than the sum of its proper divisors (520264227847).

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

416956901284 is an frugal number, since it uses more digits than its factorization.

416956901284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 416956901284 in words is "four hundred sixteen billion, nine hundred fifty-six million, nine hundred one thousand, two hundred eighty-four".