405950225360 has 80 divisors (see below), whose sum is σ = 977355873792. Its totient is φ = 156646003200.

The previous prime is 405950225353. The next prime is 405950225371. The reversal of 405950225360 is 63522059504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527975 + ... + 1044345.

Almost surely, 2^405950225360 is an apocalyptic number.

405950225360 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 405950225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488677936896).

405950225360 is an abundant number, since it is smaller than the sum of its proper divisors (571405648432).

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

405950225360 is a wasteful number, since it uses less digits than its factorization.

405950225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516732 (or 516726 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 405950225360 in words is "four hundred five billion, nine hundred fifty million, two hundred twenty-five thousand, three hundred sixty".