416540329920 has 504 divisors, whose sum is σ = 1692471719952. Its totient is φ = 93210624000.

The previous prime is 416540329903. The next prime is 416540329957. The reversal of 416540329920 is 29923045614.

416540329920 is a `hidden beast` number, since 4 + 16 + 540 + 3 + 2 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5315020 + ... + 5392820.

Almost surely, 2^416540329920 is an apocalyptic number.

416540329920 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 416540329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846235859976).

416540329920 is an abundant number, since it is smaller than the sum of its proper divisors (1275931390032).

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

416540329920 is a wasteful number, since it uses less digits than its factorization.

416540329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77861 (or 77835 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 416540329920 in words is "four hundred sixteen billion, five hundred forty million, three hundred twenty-nine thousand, nine hundred twenty".