24430040142000 has 160 divisors (see below), whose sum is σ = 79106394694080. Its totient is φ = 6486228633600.

The previous prime is 24430040141987. The next prime is 24430040142089. The reversal of 24430040142000 is 24104003442.

It is a happy number.

It is a super-2 number, since 2×24430040142000² (a number of 28 digits) contains 22 as substring.

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, 7516117 + ... + 10264116.

It is an arithmetic number, because the mean of its divisors is an integer number (494414966838).

Almost surely, 2^{24430040142000} is an apocalyptic number.

24430040142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24430040142000 is an abundant number, since it is smaller than the sum of its proper divisors (54676354552080).

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

24430040142000 is a wasteful number, since it uses less digits than its factorization.

24430040142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780488 (or 17780472 counting only the distinct ones).

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

Adding to 24430040142000 its reverse (24104003442), we get a palindrome (24454144145442).

The spelling of 24430040142000 in words is "twenty-four trillion, four hundred thirty billion, forty million, one hundred forty-two thousand".