413190391680 has 1024 divisors, whose sum is σ = 1692057600000. Its totient is φ = 94240972800.

The previous prime is 413190391639. The next prime is 413190391681. The reversal of 413190391680 is 86193091314.

413190391680 is a `hidden beast` number, since 4 + 13 + 190 + 391 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413190391681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 689800021 + ... + 689800619.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400000).

Almost surely, 2^413190391680 is an apocalyptic number.

413190391680 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 413190391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846028800000).

413190391680 is an abundant number, since it is smaller than the sum of its proper divisors (1278867208320).

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

413190391680 is a wasteful number, since it uses less digits than its factorization.

413190391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 413190391680 in words is "four hundred thirteen billion, one hundred ninety million, three hundred ninety-one thousand, six hundred eighty".