4440290400 has 864 divisors, whose sum is σ = 20064215808. Its totient is φ = 933120000.

The previous prime is 4440290347. The next prime is 4440290417. The reversal of 4440290400 is 40920444.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17690275 + ... + 17690525.

It is an arithmetic number, because the mean of its divisors is an integer number (23222472).

Almost surely, 2^4440290400 is an apocalyptic number.

4440290400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032107904).

4440290400 is an abundant number, since it is smaller than the sum of its proper divisors (15623925408).

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

4440290400 is a wasteful number, since it uses less digits than its factorization.

4440290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4440290400 is about 66635.5040500183. The cubic root of 4440290400 is about 1643.6289854864.

The spelling of 4440290400 in words is "four billion, four hundred forty million, two hundred ninety thousand, four hundred".