4402612344240 has 960 divisors, whose sum is σ = 17679239884800. Its totient is φ = 969360998400.

The previous prime is 4402612344187. The next prime is 4402612344259. The reversal of 4402612344240 is 424432162044.

4402612344240 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 612 + 34 + 4 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×4402612344240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4402612344195 and 4402612344204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1707099271 + ... + 1707101849.

It is an arithmetic number, because the mean of its divisors is an integer number (18415874880).

Almost surely, 2^{4402612344240} is an apocalyptic number.

4402612344240 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 4402612344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839619942400).

4402612344240 is an abundant number, since it is smaller than the sum of its proper divisors (13276627540560).

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

4402612344240 is a wasteful number, since it uses less digits than its factorization.

4402612344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4402612344240 in words is "four trillion, four hundred two billion, six hundred twelve million, three hundred forty-four thousand, two hundred forty".