10040423424000 has 448 divisors, whose sum is σ = 33533458358400. Its totient is φ = 2667754291200.

The previous prime is 10040423423897. The next prime is 10040423424023. The reversal of 10040423424000 is 42432404001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869370226 + ... + 869381774.

It is an arithmetic number, because the mean of its divisors is an integer number (74851469550).

Almost surely, 2^{10040423424000} is an apocalyptic number.

10040423424000 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 10040423424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766729179200).

10040423424000 is an abundant number, since it is smaller than the sum of its proper divisors (23493034934400).

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

10040423424000 is an equidigital number, since it uses as much as digits as its factorization.

10040423424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11876 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10040423424000 its reverse (42432404001), we get a palindrome (10082855828001).

The spelling of 10040423424000 in words is "ten trillion, forty billion, four hundred twenty-three million, four hundred twenty-four thousand".