410054152120 has 128 divisors (see below), whose sum is σ = 974989324800. Its totient is φ = 154781093376.

The previous prime is 410054152117. The next prime is 410054152127. The reversal of 410054152120 is 21251450014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410054152127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 314699389 + ... + 314700691.

It is an arithmetic number, because the mean of its divisors is an integer number (7617104100).

Almost surely, 2^410054152120 is an apocalyptic number.

410054152120 is a gapful number since it is divisible by the number (40) 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 410054152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487494662400).

410054152120 is an abundant number, since it is smaller than the sum of its proper divisors (564935172680).

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

410054152120 is a wasteful number, since it uses less digits than its factorization.

410054152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 410054152120 in words is "four hundred ten billion, fifty-four million, one hundred fifty-two thousand, one hundred twenty".