4042401010440 has 128 divisors (see below), whose sum is σ = 13132220774400. Its totient is φ = 989554959360.

The previous prime is 4042401010391. The next prime is 4042401010519. The reversal of 4042401010440 is 440101042404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042401010440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6875880 + ... + 7440599.

It is an arithmetic number, because the mean of its divisors is an integer number (102595474800).

Almost surely, 2^{4042401010440} is an apocalyptic number.

4042401010440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042401010440 is an abundant number, since it is smaller than the sum of its proper divisors (9089819763960).

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

4042401010440 is a wasteful number, since it uses less digits than its factorization.

4042401010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14316687 (or 14316683 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4042401010440 its reverse (440101042404), we get a palindrome (4482502052844).

The spelling of 4042401010440 in words is "four trillion, forty-two billion, four hundred one million, ten thousand, four hundred forty".