4449903575040 has 2432 divisors, whose sum is σ = 20873501245440. Its totient is φ = 871995801600.

The previous prime is 4449903575009. The next prime is 4449903575077. The reversal of 4449903575040 is 405753099444.

4449903575040 is a `hidden beast` number, since 4 + 4 + 49 + 90 + 3 + 5 + 7 + 504 + 0 = 666.

It is a super-2 number, since 2×4449903575040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62674698205 + ... + 62674698275.

Almost surely, 2^{4449903575040} is an apocalyptic number.

4449903575040 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 4449903575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436750622720).

4449903575040 is an abundant number, since it is smaller than the sum of its proper divisors (16423597670400).

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

4449903575040 is an equidigital number, since it uses as much as digits as its factorization.

4449903575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

It can be divided in two parts, 444990 and 3575040, that added together give a triangular number (4020030 = T₂₈₃₅).

The spelling of 4449903575040 in words is "four trillion, four hundred forty-nine billion, nine hundred three million, five hundred seventy-five thousand, forty".