416104507950 has 96 divisors (see below), whose sum is σ = 1053111391200. Its totient is φ = 108707512320.

The previous prime is 416104507901. The next prime is 416104507963. The reversal of 416104507950 is 59705401614.

It is a super-2 number, since 2×416104507950² (a number of 24 digits) contains 22 as substring.

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, 1312174 + ... + 1598126.

It is an arithmetic number, because the mean of its divisors is an integer number (10969910325).

Almost surely, 2^416104507950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416104507950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526555695600).

416104507950 is an abundant number, since it is smaller than the sum of its proper divisors (637006883250).

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

416104507950 is a wasteful number, since it uses less digits than its factorization.

416104507950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286166 (or 286161 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 416104507950 in words is "four hundred sixteen billion, one hundred four million, five hundred seven thousand, nine hundred fifty".