1940753007 has 32 divisors (see below), whose sum is σ = 2898255360. Its totient is φ = 1283506560.

The previous prime is 1940752987. The next prime is 1940753027. The reversal of 1940753007 is 7003570491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1940752987) and next prime (1940753027).

It is not a de Polignac number, because 1940753007 - 2¹⁶ = 1940687471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940753027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392632 + ... + 2393442.

It is an arithmetic number, because the mean of its divisors is an integer number (90570480).

Almost surely, 2^1940753007 is an apocalyptic number.

1940753007 is a deficient number, since it is larger than the sum of its proper divisors (957502353).

1940753007 is a wasteful number, since it uses less digits than its factorization.

1940753007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1940753007 is about 44053.9783334037. The cubic root of 1940753007 is about 1247.3550488274.

The spelling of 1940753007 in words is "one billion, nine hundred forty million, seven hundred fifty-three thousand, seven".