23432420400 has 120 divisors (see below), whose sum is σ = 75376842240. Its totient is φ = 6222424320.

The previous prime is 23432420359. The next prime is 23432420423. The reversal of 23432420400 is 402423432.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245949 + ... + 327651.

It is an arithmetic number, because the mean of its divisors is an integer number (628140352).

Almost surely, 2^23432420400 is an apocalyptic number.

23432420400 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 23432420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37688421120).

23432420400 is an abundant number, since it is smaller than the sum of its proper divisors (51944421840).

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

23432420400 is a wasteful number, since it uses less digits than its factorization.

23432420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81963 (or 81952 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23432420400 its reverse (402423432), we get a palindrome (23834843832).

The spelling of 23432420400 in words is "twenty-three billion, four hundred thirty-two million, four hundred twenty thousand, four hundred".