410013313040 has 40 divisors (see below), whose sum is σ = 953308984320. Its totient is φ = 164000502656.

The previous prime is 410013313019. The next prime is 410013313093. The reversal of 410013313040 is 40313310014.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×410013313040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4097687 + ... + 4196553.

It is an arithmetic number, because the mean of its divisors is an integer number (23832724608).

Almost surely, 2^410013313040 is an apocalyptic number.

410013313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410013313040 is an abundant number, since it is smaller than the sum of its proper divisors (543295671280).

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

410013313040 is a wasteful number, since it uses less digits than its factorization.

410013313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150719 (or 150713 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 410013313040 its reverse (40313310014), we get a palindrome (450326623054).

The spelling of 410013313040 in words is "four hundred ten billion, thirteen million, three hundred thirteen thousand, forty".