4454400006 has 128 divisors (see below), whose sum is σ = 11501568000. Its totient is φ = 1251637920.

The previous prime is 4454399987. The next prime is 4454400007. The reversal of 4454400006 is 6000044544.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454400007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7436095 + ... + 7436693.

It is an arithmetic number, because the mean of its divisors is an integer number (89856000).

Almost surely, 2^4454400006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454400006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750784000).

4454400006 is an abundant number, since it is smaller than the sum of its proper divisors (7047167994).

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

4454400006 is a wasteful number, since it uses less digits than its factorization.

4454400006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

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

The square root of 4454400006 is about 66741.2916117152. The cubic root of 4454400006 is about 1645.3680937035.

The spelling of 4454400006 in words is "four billion, four hundred fifty-four million, four hundred thousand, six".