413646639040 has 224 divisors, whose sum is σ = 1074140559360. Its totient is φ = 151289757696.

The previous prime is 413646639031. The next prime is 413646639053. The reversal of 413646639040 is 40936646314.

It is a super-2 number, since 2×413646639040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14860656 + ... + 14888464.

Almost surely, 2^413646639040 is an apocalyptic number.

413646639040 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 413646639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537070279680).

413646639040 is an abundant number, since it is smaller than the sum of its proper divisors (660493920320).

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

413646639040 is a wasteful number, since it uses less digits than its factorization.

413646639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27939 (or 27929 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 413646639040 in words is "four hundred thirteen billion, six hundred forty-six million, six hundred thirty-nine thousand, forty".