4434146400 has 144 divisors (see below), whose sum is σ = 14931075600. Its totient is φ = 1141647360.

The previous prime is 4434146393. The next prime is 4434146417. The reversal of 4434146400 is 46414344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37746 + ... + 101454.

It is an arithmetic number, because the mean of its divisors is an integer number (103688025).

Almost surely, 2^4434146400 is an apocalyptic number.

4434146400 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 4434146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465537800).

4434146400 is an abundant number, since it is smaller than the sum of its proper divisors (10496929200).

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

4434146400 is a wasteful number, since it uses less digits than its factorization.

4434146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63761 (or 63748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4434146400 is about 66589.3865417005. The cubic root of 4434146400 is about 1642.8705427659.

The spelling of 4434146400 in words is "four billion, four hundred thirty-four million, one hundred forty-six thousand, four hundred".