413152429320 has 384 divisors, whose sum is σ = 1426428057600. Its totient is φ = 103538995200.

The previous prime is 413152429271. The next prime is 413152429321. The reversal of 413152429320 is 23924251314.

413152429320 is a `hidden beast` number, since 41 + 3 + 1 + 524 + 2 + 93 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413152429321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104779269 + ... + 104783211.

It is an arithmetic number, because the mean of its divisors is an integer number (3714656400).

Almost surely, 2^413152429320 is an apocalyptic number.

413152429320 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 413152429320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713214028800).

413152429320 is an abundant number, since it is smaller than the sum of its proper divisors (1013275628280).

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

413152429320 is a wasteful number, since it uses less digits than its factorization.

413152429320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 413152429320 in words is "four hundred thirteen billion, one hundred fifty-two million, four hundred twenty-nine thousand, three hundred twenty".