4444426048400 has 120 divisors (see below), whose sum is σ = 11586878850624. Its totient is φ = 1628491737600.

The previous prime is 4444426048399. The next prime is 4444426048411. The reversal of 4444426048400 is 48406244444.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581004 + ... + 3943403.

Almost surely, 2^{4444426048400} is an apocalyptic number.

4444426048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444426048400 is an abundant number, since it is smaller than the sum of its proper divisors (7142452802224).

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

4444426048400 is a wasteful number, since it uses less digits than its factorization.

4444426048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524569 (or 6524558 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 44.

The spelling of 4444426048400 in words is "four trillion, four hundred forty-four billion, four hundred twenty-six million, forty-eight thousand, four hundred".