840119040 has 432 divisors, whose sum is σ = 3138259488. Its totient is φ = 214990848.

The previous prime is 840118997. The next prime is 840119041. The reversal of 840119040 is 40911048.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 840118995 and 840119013.

It is not an unprimeable number, because it can be changed into a prime (840119041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11508444 + ... + 11508516.

Almost surely, 2^840119040 is an apocalyptic number.

840119040 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 840119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569129744).

840119040 is an abundant number, since it is smaller than the sum of its proper divisors (2298140448).

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

840119040 is an equidigital number, since it uses as much as digits as its factorization.

840119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 840119040 is about 28984.8070547313. The cubic root of 840119040 is about 943.5833649335.

The spelling of 840119040 in words is "eight hundred forty million, one hundred nineteen thousand, forty".