4080906900 has 144 divisors (see below), whose sum is σ = 14993623680. Its totient is φ = 932774400.

The previous prime is 4080906889. The next prime is 4080906911. The reversal of 4080906900 is 96090804.

It is an interprime number because it is at equal distance from previous prime (4080906889) and next prime (4080906911).

It is a super-2 number, since 2×4080906900² = 33307602252935220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89061 + ... + 126860.

Almost surely, 2^4080906900 is an apocalyptic number.

It is an amenable number.

4080906900 is an abundant number, since it is smaller than the sum of its proper divisors (10912716780).

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

4080906900 is a wasteful number, since it uses less digits than its factorization.

4080906900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215951 (or 215938 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4080906900 is about 63881.9763313566. The cubic root of 4080906900 is about 1598.0323337771.

The spelling of 4080906900 in words is "four billion, eighty million, nine hundred six thousand, nine hundred".