4402379032800 has 288 divisors, whose sum is σ = 16415961811200. Its totient is φ = 1003854888960.

The previous prime is 4402379032787. The next prime is 4402379032847. The reversal of 4402379032800 is 82309732044.

It is a super-2 number, since 2×4402379032800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6726496 + ... + 7351904.

It is an arithmetic number, because the mean of its divisors is an integer number (56999867400).

Almost surely, 2^{4402379032800} is an apocalyptic number.

4402379032800 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 4402379032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207980905600).

4402379032800 is an abundant number, since it is smaller than the sum of its proper divisors (12013582778400).

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

4402379032800 is a wasteful number, since it uses less digits than its factorization.

4402379032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625858 (or 625845 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4402379032800 in words is "four trillion, four hundred two billion, three hundred seventy-nine million, thirty-two thousand, eight hundred".