842040144 has 160 divisors (see below), whose sum is σ = 2671257600. Its totient is φ = 251821440.

The previous prime is 842040139. The next prime is 842040161. The reversal of 842040144 is 441040248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374287 + ... + 376529.

It is an arithmetic number, because the mean of its divisors is an integer number (16695360).

Almost surely, 2^842040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335628800).

842040144 is an abundant number, since it is smaller than the sum of its proper divisors (1829217456).

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

842040144 is a wasteful number, since it uses less digits than its factorization.

842040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 842040144 is about 29017.9279756498. The cubic root of 842040144 is about 944.3020495181.

The spelling of 842040144 in words is "eight hundred forty-two million, forty thousand, one hundred forty-four".