416812743900 has 432 divisors, whose sum is σ = 1586062610496. Its totient is φ = 89377136640.

The previous prime is 416812743877. The next prime is 416812743911. The reversal of 416812743900 is 9347218614.

416812743900 is a `hidden beast` number, since 416 + 81 + 2 + 74 + 3 + 90 + 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 143 ways as a sum of consecutive naturals, for example, 33944562 + ... + 33956838.

It is an arithmetic number, because the mean of its divisors is an integer number (3671441228).

Almost surely, 2^416812743900 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 416812743900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793031305248).

416812743900 is an abundant number, since it is smaller than the sum of its proper divisors (1169249866596).

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

416812743900 is a wasteful number, since it uses less digits than its factorization.

416812743900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12638 (or 12628 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 416812743900 in words is "four hundred sixteen billion, eight hundred twelve million, seven hundred forty-three thousand, nine hundred".