410242400010 has 48 divisors (see below), whose sum is σ = 1070780612616. Its totient is φ = 108972294144.

The previous prime is 410242399981. The next prime is 410242400023. The reversal of 410242400010 is 10004242014.

410242400010 is a `hidden beast` number, since 4 + 10 + 242 + 400 + 0 + 10 = 666.

410242400010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 349426401129 + 60815998881 = 591123^2 + 246609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8845059 + ... + 8891318.

Almost surely, 2^410242400010 is an apocalyptic number.

410242400010 is an abundant number, since it is smaller than the sum of its proper divisors (660538212606).

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

410242400010 is a wasteful number, since it uses less digits than its factorization.

410242400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17736647 (or 17736644 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 410242400010 its reverse (10004242014), we get a palindrome (420246642024).

The spelling of 410242400010 in words is "four hundred ten billion, two hundred forty-two million, four hundred thousand, ten".