942416640 has 576 divisors, whose sum is σ = 3802821120. Its totient is φ = 218972160.

The previous prime is 942416623. The next prime is 942416659. The reversal of 942416640 is 46614249.

942416640 is a `hidden beast` number, since 9 + 4 + 2 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 942416595 and 942416604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14065887 + ... + 14065953.

It is an arithmetic number, because the mean of its divisors is an integer number (6602120).

Almost surely, 2^942416640 is an apocalyptic number.

942416640 is a gapful number since it is divisible by the number (90) 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 942416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901410560).

942416640 is an abundant number, since it is smaller than the sum of its proper divisors (2860404480).

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

942416640 is a wasteful number, since it uses less digits than its factorization.

942416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 942416640 is about 30698.8051884760. The cubic root of 942416640 is about 980.4248609029.

The spelling of 942416640 in words is "nine hundred forty-two million, four hundred sixteen thousand, six hundred forty".