4402980431040 has 224 divisors, whose sum is σ = 14717532810240. Its totient is φ = 1112157388800.

The previous prime is 4402980430991. The next prime is 4402980431089. The reversal of 4402980431040 is 401340892044.

It is an interprime number because it is at equal distance from previous prime (4402980430991) and next prime (4402980431089).

It is a super-2 number, since 2×4402980431040² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4402980431040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147929760 + ... + 147959520.

Almost surely, 2^{4402980431040} is an apocalyptic number.

4402980431040 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 4402980431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358766405120).

4402980431040 is an abundant number, since it is smaller than the sum of its proper divisors (10314552379200).

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

4402980431040 is a wasteful number, since it uses less digits than its factorization.

4402980431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37911 (or 37901 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 4402980431040 in words is "four trillion, four hundred two billion, nine hundred eighty million, four hundred thirty-one thousand, forty".