406772080000 has 960 divisors, whose sum is σ = 1262505681360. Its totient is φ = 128563200000.

The previous prime is 406772079997. The next prime is 406772080069. The reversal of 406772080000 is 80277604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10993839982 + ... + 10993840018.

Almost surely, 2^406772080000 is an apocalyptic number.

406772080000 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 406772080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631252840680).

406772080000 is an abundant number, since it is smaller than the sum of its proper divisors (855733601360).

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

406772080000 is a wasteful number, since it uses less digits than its factorization.

406772080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 406772080000 in words is "four hundred six billion, seven hundred seventy-two million, eighty thousand".