405730031616 has 1728 divisors, whose sum is σ = 1640067287040. Its totient is φ = 97462517760.

The previous prime is 405730031587. The next prime is 405730031639. The reversal of 405730031616 is 616130037504.

405730031616 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 3 + 0 + 0 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13088065521 + ... + 13088065551.

Almost surely, 2^405730031616 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 405730031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820033643520).

405730031616 is an abundant number, since it is smaller than the sum of its proper divisors (1234337255424).

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

405730031616 is a wasteful number, since it uses less digits than its factorization.

405730031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 405730031616 in words is "four hundred five billion, seven hundred thirty million, thirty-one thousand, six hundred sixteen".