4407313511040 has 256 divisors, whose sum is σ = 15332357859840. Its totient is φ = 1067956736000.

The previous prime is 4407313511017. The next prime is 4407313511053. The reversal of 4407313511040 is 401153137044.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4407313510992 and 4407313511010.

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, 47833015 + ... + 47925065.

It is an arithmetic number, because the mean of its divisors is an integer number (59892022890).

Almost surely, 2^{4407313511040} is an apocalyptic number.

4407313511040 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 4407313511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666178929920).

4407313511040 is an abundant number, since it is smaller than the sum of its proper divisors (10925044348800).

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

4407313511040 is a wasteful number, since it uses less digits than its factorization.

4407313511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94351 (or 94339 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 4407313511040 its reverse (401153137044), we get a palindrome (4808466648084).

The spelling of 4407313511040 in words is "four trillion, four hundred seven billion, three hundred thirteen million, five hundred eleven thousand, forty".