1940004864 has 336 divisors, whose sum is σ = 6723583200. Its totient is φ = 551190528.

The previous prime is 1940004809. The next prime is 1940004877. The reversal of 1940004864 is 4684000491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10837927 + ... + 10838105.

Almost surely, 2^1940004864 is an apocalyptic number.

1940004864 is a gapful number since it is divisible by the number (14) 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 1940004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361791600).

1940004864 is an abundant number, since it is smaller than the sum of its proper divisors (4783578336).

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

1940004864 is an equidigital number, since it uses as much as digits as its factorization.

1940004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1940004864 is about 44045.4863067715. The cubic root of 1940004864 is about 1247.1947468065.

The spelling of 1940004864 in words is "one billion, nine hundred forty million, four thousand, eight hundred sixty-four".