405325624704 has 1536 divisors, whose sum is σ = 1604521820160. Its totient is φ = 87369891840.

The previous prime is 405325624657. The next prime is 405325624729. The reversal of 405325624704 is 407426523504.

It is a super-3 number, since 3×405325624704³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 3191540289 + ... + 3191540415.

It is an arithmetic number, because the mean of its divisors is an integer number (1044610560).

Almost surely, 2^405325624704 is an apocalyptic number.

405325624704 is a gapful number since it is divisible by the number (44) 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 405325624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802260910080).

405325624704 is an abundant number, since it is smaller than the sum of its proper divisors (1199196195456).

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

405325624704 is a wasteful number, since it uses less digits than its factorization.

405325624704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 405325624704 in words is "four hundred five billion, three hundred twenty-five million, six hundred twenty-four thousand, seven hundred four".