4442400040400 has 60 divisors (see below), whose sum is σ = 12197561261472. Its totient is φ = 1523108584320.

The previous prime is 4442400040373. The next prime is 4442400040457. The reversal of 4442400040400 is 40400042444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4442400040400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793282922 + ... + 793288521.

Almost surely, 2^{4442400040400} is an apocalyptic number.

4442400040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442400040400 is an abundant number, since it is smaller than the sum of its proper divisors (7755161221072).

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

4442400040400 is a wasteful number, since it uses less digits than its factorization.

4442400040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586571468 (or 1586571457 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4442400040400 its reverse (40400042444), we get a palindrome (4482800082844).

The spelling of 4442400040400 in words is "four trillion, four hundred forty-two billion, four hundred million, forty thousand, four hundred".