407094934832496 has 480 divisors, whose sum is σ = 1208774277494784. Its totient is φ = 127695439872000.

The previous prime is 407094934832479. The next prime is 407094934832507. The reversal of 407094934832496 is 694238439490704.

It is a happy number.

407094934832496 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 9 + 4 + 93 + 48 + 3 + 2 + 496 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52931336011 + ... + 52931343701.

Almost surely, 2^{407094934832496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407094934832496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604387138747392).

407094934832496 is an abundant number, since it is smaller than the sum of its proper divisors (801679342662288).

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

407094934832496 is a wasteful number, since it uses less digits than its factorization.

407094934832496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 407094934832496 in words is "four hundred seven trillion, ninety-four billion, nine hundred thirty-four million, eight hundred thirty-two thousand, four hundred ninety-six".