10432031002440 has 192 divisors, whose sum is σ = 31797856627200. Its totient is φ = 2737958547456.

The previous prime is 10432031002423. The next prime is 10432031002447. The reversal of 10432031002440 is 4420013023401.

It is a super-2 number, since 2×10432031002440² (a number of 27 digits) contains 22 as substring.

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 10432031002440.

It is not an unprimeable number, because it can be changed into a prime (10432031002447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306293892 + ... + 306327948.

It is an arithmetic number, because the mean of its divisors is an integer number (165613836600).

Almost surely, 2^{10432031002440} is an apocalyptic number.

10432031002440 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 10432031002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898928313600).

10432031002440 is an abundant number, since it is smaller than the sum of its proper divisors (21365825624760).

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

10432031002440 is a wasteful number, since it uses less digits than its factorization.

10432031002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34696 (or 34619 counting only the distinct ones).

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

Adding to 10432031002440 its reverse (4420013023401), we get a palindrome (14852044025841).

The spelling of 10432031002440 in words is "ten trillion, four hundred thirty-two billion, thirty-one million, two thousand, four hundred forty".