416389041024 has 192 divisors, whose sum is σ = 1218226800000. Its totient is φ = 125918622720.

The previous prime is 416389041001. The next prime is 416389041031. The reversal of 416389041024 is 420140983614.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23176557 + ... + 23194515.

It is an arithmetic number, because the mean of its divisors is an integer number (6344931250).

Almost surely, 2^416389041024 is an apocalyptic number.

416389041024 is a gapful number since it is divisible by the number (44) 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 416389041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609113400000).

416389041024 is an abundant number, since it is smaller than the sum of its proper divisors (801837758976).

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

416389041024 is a wasteful number, since it uses less digits than its factorization.

416389041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18497 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 416389041024 in words is "four hundred sixteen billion, three hundred eighty-nine million, forty-one thousand, twenty-four".