20234100440400 has 480 divisors, whose sum is σ = 80852786423808. Its totient is φ = 4202276198400.

The previous prime is 20234100440321. The next prime is 20234100440419. The reversal of 20234100440400 is 404400143202.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 178552557 + ... + 178665843.

Almost surely, 2^{20234100440400} is an apocalyptic number.

20234100440400 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 20234100440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40426393211904).

20234100440400 is an abundant number, since it is smaller than the sum of its proper divisors (60618685983408).

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

20234100440400 is a wasteful number, since it uses less digits than its factorization.

20234100440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115259 (or 115248 counting only the distinct ones).

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

Adding to 20234100440400 its reverse (404400143202), we get a palindrome (20638500583602).

The spelling of 20234100440400 in words is "twenty trillion, two hundred thirty-four billion, one hundred million, four hundred forty thousand, four hundred".