1075629666940 has 48 divisors (see below), whose sum is σ = 2269001462112. Its totient is φ = 428317341696.

The previous prime is 1075629666757. The next prime is 1075629666941. The reversal of 1075629666940 is 496669265701.

1075629666940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075629666941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821727 + ... + 4093513.

It is an arithmetic number, because the mean of its divisors is an integer number (47270863794).

Almost surely, 2^{1075629666940} is an apocalyptic number.

1075629666940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075629666940 is an abundant number, since it is smaller than the sum of its proper divisors (1193371795172).

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

1075629666940 is a wasteful number, since it uses less digits than its factorization.

1075629666940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272686 (or 272684 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 1075629666940 in words is "one trillion, seventy-five billion, six hundred twenty-nine million, six hundred sixty-six thousand, nine hundred forty".