416158247232 has 896 divisors, whose sum is σ = 1633648020480. Its totient is φ = 100753735680.

The previous prime is 416158247221. The next prime is 416158247291. The reversal of 416158247232 is 232742851614.

416158247232 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 582 + 47 + 23 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109599958 + ... + 109603754.

It is an arithmetic number, because the mean of its divisors is an integer number (1823267880).

Almost surely, 2^416158247232 is an apocalyptic number.

416158247232 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 416158247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816824010240).

416158247232 is an abundant number, since it is smaller than the sum of its proper divisors (1217489773248).

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

416158247232 is a wasteful number, since it uses less digits than its factorization.

416158247232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3880 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 416158247232 in words is "four hundred sixteen billion, one hundred fifty-eight million, two hundred forty-seven thousand, two hundred thirty-two".