23410042002400 has 144 divisors (see below), whose sum is σ = 58469825816640. Its totient is φ = 9150168268800.

The previous prime is 23410042002341. The next prime is 23410042002419. The reversal of 23410042002400 is 420024001432.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4221060 + ... + 8039740.

It is an arithmetic number, because the mean of its divisors is an integer number (406040457060).

Almost surely, 2^{23410042002400} is an apocalyptic number.

23410042002400 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 23410042002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29234912908320).

23410042002400 is an abundant number, since it is smaller than the sum of its proper divisors (35059783814240).

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

23410042002400 is a wasteful number, since it uses less digits than its factorization.

23410042002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818877 (or 3818864 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23410042002400 its reverse (420024001432), we get a palindrome (23830066003832).

The spelling of 23410042002400 in words is "twenty-three trillion, four hundred ten billion, forty-two million, two thousand, four hundred".