405919342560 has 384 divisors, whose sum is σ = 1321208340480. Its totient is φ = 104712192000.

The previous prime is 405919342519. The next prime is 405919342607. The reversal of 405919342560 is 65243919504.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 675406260 + ... + 675406860.

It is an arithmetic number, because the mean of its divisors is an integer number (3440646720).

Almost surely, 2^405919342560 is an apocalyptic number.

405919342560 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 405919342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660604170240).

405919342560 is an abundant number, since it is smaller than the sum of its proper divisors (915288997920).

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

405919342560 is a wasteful number, since it uses less digits than its factorization.

405919342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 405919342560 in words is "four hundred five billion, nine hundred nineteen million, three hundred forty-two thousand, five hundred sixty".