406402602720 has 192 divisors, whose sum is σ = 1299213457920. Its totient is φ = 106764134400.

The previous prime is 406402602691. The next prime is 406402602733. The reversal of 406402602720 is 27206204604.

It is a congruent number.

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, 52172586 + ... + 52180374.

It is an arithmetic number, because the mean of its divisors is an integer number (6766736760).

Almost surely, 2^406402602720 is an apocalyptic number.

406402602720 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 406402602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649606728960).

406402602720 is an abundant number, since it is smaller than the sum of its proper divisors (892810855200).

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

406402602720 is a wasteful number, since it uses less digits than its factorization.

406402602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 406402602720 in words is "four hundred six billion, four hundred two million, six hundred two thousand, seven hundred twenty".