409954296960 has 1152 divisors, whose sum is σ = 1641367990080. Its totient is φ = 97193779200.

The previous prime is 409954296959. The next prime is 409954296979. The reversal of 409954296960 is 69692459904.

409954296960 is a `hidden beast` number, since 4 + 0 + 9 + 95 + 429 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1942911255 + ... + 1942911465.

Almost surely, 2^409954296960 is an apocalyptic number.

409954296960 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 409954296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820683995040).

409954296960 is an abundant number, since it is smaller than the sum of its proper divisors (1231413693120).

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

409954296960 is a wasteful number, since it uses less digits than its factorization.

409954296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 409954296960 in words is "four hundred nine billion, nine hundred fifty-four million, two hundred ninety-six thousand, nine hundred sixty".