416332035672 has 128 divisors (see below), whose sum is σ = 1208229273600. Its totient is φ = 117090230400.

The previous prime is 416332035617. The next prime is 416332035673. The reversal of 416332035672 is 276530233614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416332035673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4345647 + ... + 4440417.

It is an arithmetic number, because the mean of its divisors is an integer number (9439291200).

Almost surely, 2^416332035672 is an apocalyptic number.

416332035672 is a gapful number since it is divisible by the number (42) 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 416332035672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604114636800).

416332035672 is an abundant number, since it is smaller than the sum of its proper divisors (791897237928).

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

416332035672 is a wasteful number, since it uses less digits than its factorization.

416332035672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95197 (or 95193 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 416332035672 in words is "four hundred sixteen billion, three hundred thirty-two million, thirty-five thousand, six hundred seventy-two".