410099920272 has 480 divisors, whose sum is σ = 1390168166400. Its totient is φ = 115401500928.

The previous prime is 410099920247. The next prime is 410099920309. The reversal of 410099920272 is 272029990014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521092263 + ... + 521093049.

It is an arithmetic number, because the mean of its divisors is an integer number (2896183680).

Almost surely, 2^410099920272 is an apocalyptic number.

410099920272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410099920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695084083200).

410099920272 is an abundant number, since it is smaller than the sum of its proper divisors (980068246128).

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

410099920272 is a wasteful number, since it uses less digits than its factorization.

410099920272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 410099920272 in words is "four hundred ten billion, ninety-nine million, nine hundred twenty thousand, two hundred seventy-two".