4090956000 has 96 divisors (see below), whose sum is σ = 13402011168. Its totient is φ = 1090918400.

The previous prime is 4090955971. The next prime is 4090956031. The reversal of 4090956000 is 6590904.

It is a happy number.

4090956000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158457 + ... + 182456.

It is an arithmetic number, because the mean of its divisors is an integer number (139604283).

Almost surely, 2^4090956000 is an apocalyptic number.

4090956000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4090956000 is an abundant number, since it is smaller than the sum of its proper divisors (9311055168).

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

4090956000 is a wasteful number, since it uses less digits than its factorization.

4090956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340941 (or 340923 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4090956000 is about 63960.5816108640. The cubic root of 4090956000 is about 1599.3429593896.

The spelling of 4090956000 in words is "four billion, ninety million, nine hundred fifty-six thousand".