20240400120024 has 256 divisors, whose sum is σ = 60468874444800. Its totient is φ = 5523933542400.

The previous prime is 20240400119981. The next prime is 20240400120079. The reversal of 20240400120024 is 42002100404202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125864384 + ... + 2125873904.

It is an arithmetic number, because the mean of its divisors is an integer number (236206540800).

Almost surely, 2^{20240400120024} is an apocalyptic number.

20240400120024 is a gapful number since it is divisible by the number (24) 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 20240400120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30234437222400).

20240400120024 is an abundant number, since it is smaller than the sum of its proper divisors (40228474324776).

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

20240400120024 is a wasteful number, since it uses less digits than its factorization.

20240400120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14810 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20240400120024 its reverse (42002100404202), we get a palindrome (62242500524226).

The spelling of 20240400120024 in words is "twenty trillion, two hundred forty billion, four hundred million, one hundred twenty thousand, twenty-four".