842253834240 has 864 divisors, whose sum is σ = 3657149954640. Its totient is φ = 177693917184.

The previous prime is 842253834199. The next prime is 842253834277. The reversal of 842253834240 is 42438352248.

842253834240 is a `hidden beast` number, since 8 + 4 + 2 + 25 + 383 + 4 + 240 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58698747 + ... + 58713093.

Almost surely, 2^842253834240 is an apocalyptic number.

842253834240 is a gapful number since it is divisible by the number (80) 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 842253834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828574977320).

842253834240 is an abundant number, since it is smaller than the sum of its proper divisors (2814896120400).

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

842253834240 is a wasteful number, since it uses less digits than its factorization.

842253834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14407 (or 14377 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 842253834240 in words is "eight hundred forty-two billion, two hundred fifty-three million, eight hundred thirty-four thousand, two hundred forty".