10240034031040 has 168 divisors, whose sum is σ = 27549723129552. Its totient is φ = 3595246018560.

The previous prime is 10240034030987. The next prime is 10240034031041. The reversal of 10240034031040 is 4013043004201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240034031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230772 + ... + 4689868.

Almost surely, 2^{10240034031040} is an apocalyptic number.

10240034031040 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 10240034031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774861564776).

10240034031040 is an abundant number, since it is smaller than the sum of its proper divisors (17309689098512).

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

10240034031040 is a wasteful number, since it uses less digits than its factorization.

10240034031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459183 (or 3459144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10240034031040 its reverse (4013043004201), we get a palindrome (14253077035241).

The spelling of 10240034031040 in words is "ten trillion, two hundred forty billion, thirty-four million, thirty-one thousand, forty".