4424888401920 has 1440 divisors, whose sum is σ = 18194536808448. Its totient is φ = 973860765696.

The previous prime is 4424888401909. The next prime is 4424888401937. The reversal of 4424888401920 is 291048884244.

4424888401920 is a `hidden beast` number, since 442 + 4 + 8 + 8 + 8 + 4 + 0 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4424888401920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28184002482 + ... + 28184002638.

Almost surely, 2^{4424888401920} is an apocalyptic number.

4424888401920 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 4424888401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097268404224).

4424888401920 is an abundant number, since it is smaller than the sum of its proper divisors (13769648406528).

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

4424888401920 is a wasteful number, since it uses less digits than its factorization.

4424888401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 4424888401920 in words is "four trillion, four hundred twenty-four billion, eight hundred eighty-eight million, four hundred one thousand, nine hundred twenty".