413786443140 has 768 divisors, whose sum is σ = 1536288768000. Its totient is φ = 90523090944.

The previous prime is 413786443127. The next prime is 413786443181. The reversal of 413786443140 is 41344687314.

413786443140 is a `hidden beast` number, since 4 + 137 + 86 + 4 + 431 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2079328761 + ... + 2079328959.

It is an arithmetic number, because the mean of its divisors is an integer number (2000376000).

Almost surely, 2^413786443140 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 413786443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768144384000).

413786443140 is an abundant number, since it is smaller than the sum of its proper divisors (1122502324860).

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

413786443140 is a wasteful number, since it uses less digits than its factorization.

413786443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 413786443140 in words is "four hundred thirteen billion, seven hundred eighty-six million, four hundred forty-three thousand, one hundred forty".