10005454024040 has 64 divisors (see below), whose sum is σ = 22885944076800. Its totient is φ = 3936145195008.

The previous prime is 10005454024021. The next prime is 10005454024043. The reversal of 10005454024040 is 4042045450001.

It is a super-2 number, since 2×10005454024040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005454023994 and 10005454024012.

It is not an unprimeable number, because it can be changed into a prime (10005454024043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5347964 + ... + 6972203.

It is an arithmetic number, because the mean of its divisors is an integer number (357592876200).

Almost surely, 2^{10005454024040} is an apocalyptic number.

10005454024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005454024040 is an abundant number, since it is smaller than the sum of its proper divisors (12880490052760).

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

10005454024040 is a wasteful number, since it uses less digits than its factorization.

10005454024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320514 (or 12320510 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 10005454024040 its reverse (4042045450001), we get a palindrome (14047499474041).

The spelling of 10005454024040 in words is "ten trillion, five billion, four hundred fifty-four million, twenty-four thousand, forty".