413434553515320 has 256 divisors, whose sum is σ = 1256457576038400. Its totient is φ = 108823218094080.

The previous prime is 413434553515303. The next prime is 413434553515343. The reversal of 413434553515320 is 23515355434314.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 413434553515320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3246864055 + ... + 3246991385.

It is an arithmetic number, because the mean of its divisors is an integer number (4908037406400).

Almost surely, 2^{413434553515320} is an apocalyptic number.

413434553515320 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 413434553515320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628228788019200).

413434553515320 is an abundant number, since it is smaller than the sum of its proper divisors (843023022523080).

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

413434553515320 is a wasteful number, since it uses less digits than its factorization.

413434553515320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128558 (or 128554 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 413434553515320 in words is "four hundred thirteen trillion, four hundred thirty-four billion, five hundred fifty-three million, five hundred fifteen thousand, three hundred twenty".