842693406240 has 96 divisors (see below), whose sum is σ = 3033696274560. Its totient is φ = 192615634944.

The previous prime is 842693406223. The next prime is 842693406253. The reversal of 842693406240 is 42604396248.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 842693406240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125397445 + ... + 125404164.

It is an arithmetic number, because the mean of its divisors is an integer number (31601002860).

Almost surely, 2^842693406240 is an apocalyptic number.

842693406240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842693406240 is an abundant number, since it is smaller than the sum of its proper divisors (2191002868320).

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

842693406240 is a wasteful number, since it uses less digits than its factorization.

842693406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250801634 (or 250801626 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 842693406240 in words is "eight hundred forty-two billion, six hundred ninety-three million, four hundred six thousand, two hundred forty".