840040992 has 288 divisors, whose sum is σ = 2928586752. Its totient is φ = 222953472.

The previous prime is 840040979. The next prime is 840041017. The reversal of 840040992 is 299040048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4352448 + ... + 4352640.

It is an arithmetic number, because the mean of its divisors is an integer number (10168704).

Almost surely, 2^840040992 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 840040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464293376).

840040992 is an abundant number, since it is smaller than the sum of its proper divisors (2088545760).

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

840040992 is a wasteful number, since it uses less digits than its factorization.

840040992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 840040992 is about 28983.4606629367. The cubic root of 840040992 is about 943.5541440447.

The spelling of 840040992 in words is "eight hundred forty million, forty thousand, nine hundred ninety-two".