4406054400 has 960 divisors, whose sum is σ = 18875577600. Its totient is φ = 995328000.

The previous prime is 4406054399. The next prime is 4406054431. The reversal of 4406054400 is 44506044.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 72230370 + ... + 72230430.

It is an arithmetic number, because the mean of its divisors is an integer number (19662060).

Almost surely, 2^4406054400 is an apocalyptic number.

4406054400 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 4406054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437788800).

4406054400 is an abundant number, since it is smaller than the sum of its proper divisors (14469523200).

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

4406054400 is a wasteful number, since it uses less digits than its factorization.

4406054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4406054400 is about 66378.1168759705. The cubic root of 4406054400 is about 1639.3937874472.

The spelling of 4406054400 in words is "four billion, four hundred six million, fifty-four thousand, four hundred".