4000225416 has 32 divisors (see below), whose sum is σ = 10909706400. Its totient is φ = 1212189440.

The previous prime is 4000225379. The next prime is 4000225423. The reversal of 4000225416 is 6145220004.

4000225416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7575921 + ... + 7576448.

It is an arithmetic number, because the mean of its divisors is an integer number (340928325).

Almost surely, 2^4000225416 is an apocalyptic number.

It is an amenable number.

4000225416 is an abundant number, since it is smaller than the sum of its proper divisors (6909480984).

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

4000225416 is a wasteful number, since it uses less digits than its factorization.

4000225416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15152389 (or 15152385 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4000225416 is about 63247.3352482142. The cubic root of 4000225416 is about 1587.4308702077.

The spelling of 4000225416 in words is "four billion, two hundred twenty-five thousand, four hundred sixteen".