4324007890440 has 1536 divisors, whose sum is σ = 18254066688000. Its totient is φ = 864836517888.

The previous prime is 4324007890387. The next prime is 4324007890459. The reversal of 4324007890440 is 440987004234.

4324007890440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5010437449 + ... + 5010438311.

It is an arithmetic number, because the mean of its divisors is an integer number (11884158000).

Almost surely, 2^{4324007890440} is an apocalyptic number.

4324007890440 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 4324007890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127033344000).

4324007890440 is an abundant number, since it is smaller than the sum of its proper divisors (13930058797560).

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

4324007890440 is a wasteful number, since it uses less digits than its factorization.

4324007890440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4324007890440 in words is "four trillion, three hundred twenty-four billion, seven million, eight hundred ninety thousand, four hundred forty".