942661440 has 672 divisors, whose sum is σ = 4108216320. Its totient is φ = 193425408.

The previous prime is 942661429. The next prime is 942661453. The reversal of 942661440 is 44166249.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×942661440² = 1777221180925747200, which contains 22 as substring.

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 = 942661395 and 942661404.

It is a congruent number.

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, 8809867 + ... + 8809973.

Almost surely, 2^942661440 is an apocalyptic number.

942661440 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 942661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054108160).

942661440 is an abundant number, since it is smaller than the sum of its proper divisors (3165554880).

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

942661440 is a wasteful number, since it uses less digits than its factorization.

942661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

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

The square root of 942661440 is about 30702.7920554467. The cubic root of 942661440 is about 980.5097445299.

The spelling of 942661440 in words is "nine hundred forty-two million, six hundred sixty-one thousand, four hundred forty".