405640907360 has 384 divisors, whose sum is σ = 1125392486400. Its totient is φ = 136827740160.

The previous prime is 405640907311. The next prime is 405640907381. The reversal of 405640907360 is 63709046504.

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, 572130686 + ... + 572131394.

It is an arithmetic number, because the mean of its divisors is an integer number (2930709600).

Almost surely, 2^405640907360 is an apocalyptic number.

405640907360 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 405640907360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562696243200).

405640907360 is an abundant number, since it is smaller than the sum of its proper divisors (719751579040).

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

405640907360 is a wasteful number, since it uses less digits than its factorization.

405640907360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 405640907360 in words is "four hundred five billion, six hundred forty million, nine hundred seven thousand, three hundred sixty".