1940104320 has 384 divisors, whose sum is σ = 7774945920. Its totient is φ = 402800640.

The previous prime is 1940104301. The next prime is 1940104339. The reversal of 1940104320 is 234010491.

It is an interprime number because it is at equal distance from previous prime (1940104301) and next prime (1940104339).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625644 + ... + 1626836.

It is an arithmetic number, because the mean of its divisors is an integer number (20247255).

Almost surely, 2^1940104320 is an apocalyptic number.

1940104320 is a gapful number since it is divisible by the number (10) 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 1940104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887472960).

1940104320 is an abundant number, since it is smaller than the sum of its proper divisors (5834841600).

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

1940104320 is a wasteful number, since it uses less digits than its factorization.

1940104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1940104320 is about 44046.6153069677. The cubic root of 1940104320 is about 1247.2160592755.

The spelling of 1940104320 in words is "one billion, nine hundred forty million, one hundred four thousand, three hundred twenty".