24023020421400 has 768 divisors, whose sum is σ = 102692037288960. Its totient is φ = 4483272499200.

The previous prime is 24023020421369. The next prime is 24023020421419. The reversal of 24023020421400 is 412402032042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21681682 + ... + 22762718.

It is an arithmetic number, because the mean of its divisors is an integer number (133713590220).

Almost surely, 2^{24023020421400} is an apocalyptic number.

24023020421400 is a gapful number since it is divisible by the number (20) 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 24023020421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51346018644480).

24023020421400 is an abundant number, since it is smaller than the sum of its proper divisors (78669016867560).

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

24023020421400 is a wasteful number, since it uses less digits than its factorization.

24023020421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081124 (or 1081115 counting only the distinct ones).

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

Adding to 24023020421400 its reverse (412402032042), we get a palindrome (24435422453442).

The spelling of 24023020421400 in words is "twenty-four trillion, twenty-three billion, twenty million, four hundred twenty-one thousand, four hundred".