4023313112400 has 240 divisors, whose sum is σ = 13715414817984. Its totient is φ = 1004645949440.

The previous prime is 4023313112393. The next prime is 4023313112407. The reversal of 4023313112400 is 42113133204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4023313112393) and next prime (4023313112407).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023313112407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518239 + ... + 4519361.

Almost surely, 2^{4023313112400} is an apocalyptic number.

4023313112400 is a gapful number since it is divisible by the number (40) 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 4023313112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857707408992).

4023313112400 is an abundant number, since it is smaller than the sum of its proper divisors (9692101705584).

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

4023313112400 is a wasteful number, since it uses less digits than its factorization.

4023313112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001358 (or 1001347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4023313112400 its reverse (42113133204), we get a palindrome (4065426245604).

The spelling of 4023313112400 in words is "four trillion, twenty-three billion, three hundred thirteen million, one hundred twelve thousand, four hundred".