4401400402344 has 256 divisors, whose sum is σ = 12191751936000. Its totient is φ = 1313079229440.

The previous prime is 4401400402339. The next prime is 4401400402411. The reversal of 4401400402344 is 4432040041044.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4344915982 + ... + 4344916994.

It is an arithmetic number, because the mean of its divisors is an integer number (47624031000).

Almost surely, 2^{4401400402344} is an apocalyptic number.

4401400402344 is a gapful number since it is divisible by the number (44) 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 4401400402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095875968000).

4401400402344 is an abundant number, since it is smaller than the sum of its proper divisors (7790351533656).

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

4401400402344 is a wasteful number, since it uses less digits than its factorization.

4401400402344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4401400402344 its reverse (4432040041044), we get a palindrome (8833440443388).

The spelling of 4401400402344 in words is "four trillion, four hundred one billion, four hundred million, four hundred two thousand, three hundred forty-four".