12410254080 has 576 divisors, whose sum is σ = 51544120320. Its totient is φ = 2768338944.

The previous prime is 12410254079. The next prime is 12410254117. The reversal of 12410254080 is 8045201421.

12410254080 is a `hidden beast` number, since 1 + 2 + 41 + 0 + 2 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10401964 + ... + 10403156.

It is an arithmetic number, because the mean of its divisors is an integer number (89486320).

Almost surely, 2^12410254080 is an apocalyptic number.

12410254080 is a gapful number since it is divisible by the number (10) 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 12410254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25772060160).

12410254080 is an abundant number, since it is smaller than the sum of its proper divisors (39133866240).

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

12410254080 is a wasteful number, since it uses less digits than its factorization.

12410254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 12410254080 in words is "twelve billion, four hundred ten million, two hundred fifty-four thousand, eighty".