4430031023040 has 1344 divisors, whose sum is σ = 17474209944576. Its totient is φ = 930719268864.

The previous prime is 4430031023003. The next prime is 4430031023107. The reversal of 4430031023040 is 403201300344.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4430031023040.

It is a congruent number.

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, 11158768122 + ... + 11158768518.

It is an arithmetic number, because the mean of its divisors is an integer number (13001644304).

Almost surely, 2^{4430031023040} is an apocalyptic number.

4430031023040 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 4430031023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737104972288).

4430031023040 is an abundant number, since it is smaller than the sum of its proper divisors (13044178921536).

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

4430031023040 is a wasteful number, since it uses less digits than its factorization.

4430031023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4430031023040 its reverse (403201300344), we get a palindrome (4833232323384).

The spelling of 4430031023040 in words is "four trillion, four hundred thirty billion, thirty-one million, twenty-three thousand, forty".