942121635840 has 2496 divisors, whose sum is σ = 4437294048000. Its totient is φ = 187280916480.

The previous prime is 942121635673. The next prime is 942121635857. The reversal of 942121635840 is 48536121249.

942121635840 is a `hidden beast` number, since 9 + 4 + 2 + 1 + 2 + 1 + 63 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8643317706 + ... + 8643317814.

Almost surely, 2^942121635840 is an apocalyptic number.

942121635840 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 942121635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218647024000).

942121635840 is an abundant number, since it is smaller than the sum of its proper divisors (3495172412160).

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

942121635840 is a wasteful number, since it uses less digits than its factorization.

942121635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 942121635840 in words is "nine hundred forty-two billion, one hundred twenty-one million, six hundred thirty-five thousand, eight hundred forty".