405813149231616 has 3840 divisors, whose sum is σ = 1577056181944320. Its totient is φ = 100650115399680.

The previous prime is 405813149231603. The next prime is 405813149231627. The reversal of 405813149231616 is 616132941318504.

405813149231616 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 1 + 3 + 14 + 9 + 2 + 3 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3195379127745 + ... + 3195379127871.

It is an arithmetic number, because the mean of its divisors is an integer number (410691714048).

Almost surely, 2^{405813149231616} is an apocalyptic number.

405813149231616 is a gapful number since it is divisible by the number (46) 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 405813149231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788528090972160).

405813149231616 is an abundant number, since it is smaller than the sum of its proper divisors (1171243032712704).

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

405813149231616 is a wasteful number, since it uses less digits than its factorization.

405813149231616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 405813149231616 in words is "four hundred five trillion, eight hundred thirteen billion, one hundred forty-nine million, two hundred thirty-one thousand, six hundred sixteen".