10004340031440 has 320 divisors, whose sum is σ = 31596878027520. Its totient is φ = 2618160906240.

The previous prime is 10004340031423. The next prime is 10004340031453. The reversal of 10004340031440 is 4413004340001.

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 10004340031440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1647344244 + ... + 1647350316.

It is an arithmetic number, because the mean of its divisors is an integer number (98740243836).

Almost surely, 2^{10004340031440} is an apocalyptic number.

10004340031440 is a gapful number since it is divisible by the number (10) 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 10004340031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798439013760).

10004340031440 is an abundant number, since it is smaller than the sum of its proper divisors (21592537996080).

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

10004340031440 is a wasteful number, since it uses less digits than its factorization.

10004340031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10004340031440 its reverse (4413004340001), we get a palindrome (14417344371441).

The spelling of 10004340031440 in words is "ten trillion, four billion, three hundred forty million, thirty-one thousand, four hundred forty".