942405478560 has 576 divisors, whose sum is σ = 4094605831680. Its totient is φ = 191979970560.

The previous prime is 942405478513. The next prime is 942405478627. The reversal of 942405478560 is 65874504249.

942405478560 is a `hidden beast` number, since 9 + 4 + 2 + 4 + 0 + 5 + 4 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 942405478497 and 942405478506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3676165 + ... + 3924155.

It is an arithmetic number, because the mean of its divisors is an integer number (7108690680).

Almost surely, 2^942405478560 is an apocalyptic number.

942405478560 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 942405478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047302915840).

942405478560 is an abundant number, since it is smaller than the sum of its proper divisors (3152200353120).

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

942405478560 is a wasteful number, since it uses less digits than its factorization.

942405478560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248061 (or 248050 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 942405478560 in words is "nine hundred forty-two billion, four hundred five million, four hundred seventy-eight thousand, five hundred sixty".