405394580640 has 192 divisors, whose sum is σ = 1464178028544. Its totient is φ = 92359554048.

The previous prime is 405394580627. The next prime is 405394580677. The reversal of 405394580640 is 46085493504.

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

It is a self number, because there is not a number n which added to its sum of digits gives 405394580640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835017 + ... + 1228023.

It is an arithmetic number, because the mean of its divisors is an integer number (7625927232).

Almost surely, 2^405394580640 is an apocalyptic number.

405394580640 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 405394580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732089014272).

405394580640 is an abundant number, since it is smaller than the sum of its proper divisors (1058783447904).

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

405394580640 is a wasteful number, since it uses less digits than its factorization.

405394580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393339 (or 393331 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 405394580640 in words is "four hundred five billion, three hundred ninety-four million, five hundred eighty thousand, six hundred forty".