413658423140 has 96 divisors (see below), whose sum is σ = 926171820000. Its totient is φ = 154651852800.

The previous prime is 413658423121. The next prime is 413658423149. The reversal of 413658423140 is 41324856314.

It can be written as a sum of positive squares in 16 ways, for example, as 10707696484 + 402950726656 = 103478^2 + 634784^2 .

It is a super-2 number, since 2×413658423140² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413658423149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31215236 + ... + 31228484.

It is an arithmetic number, because the mean of its divisors is an integer number (9647623125).

Almost surely, 2^413658423140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413658423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463085910000).

413658423140 is an abundant number, since it is smaller than the sum of its proper divisors (512513396860).

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

413658423140 is a wasteful number, since it uses less digits than its factorization.

413658423140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13905 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 413658423140 in words is "four hundred thirteen billion, six hundred fifty-eight million, four hundred twenty-three thousand, one hundred forty".