416034900720 has 240 divisors, whose sum is σ = 1410094033920. Its totient is φ = 109919932416.

The previous prime is 416034900691. The next prime is 416034900731. The reversal of 416034900720 is 27009430614.

416034900720 is a `hidden beast` number, since 4 + 1 + 603 + 49 + 0 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78361426 + ... + 78366734.

It is an arithmetic number, because the mean of its divisors is an integer number (5875391808).

Almost surely, 2^416034900720 is an apocalyptic number.

416034900720 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 416034900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705047016960).

416034900720 is an abundant number, since it is smaller than the sum of its proper divisors (994059133200).

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

416034900720 is a wasteful number, since it uses less digits than its factorization.

416034900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 416034900720 in words is "four hundred sixteen billion, thirty-four million, nine hundred thousand, seven hundred twenty".