416201253888 has 352 divisors, whose sum is σ = 1338597821440. Its totient is φ = 112312811520.

The previous prime is 416201253877. The next prime is 416201253971. The reversal of 416201253888 is 888352102614.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152397483 + ... + 152400213.

It is an arithmetic number, because the mean of its divisors is an integer number (3802834720).

Almost surely, 2^416201253888 is an apocalyptic number.

416201253888 is a gapful number since it is divisible by the number (48) 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 416201253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669298910720).

416201253888 is an abundant number, since it is smaller than the sum of its proper divisors (922396567552).

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

416201253888 is a wasteful number, since it uses less digits than its factorization.

416201253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 416201253888 in words is "four hundred sixteen billion, two hundred one million, two hundred fifty-three thousand, eight hundred eighty-eight".