2335440113400 has 384 divisors, whose sum is σ = 7891071814080. Its totient is φ = 569148702720.

The previous prime is 2335440113393. The next prime is 2335440113423. The reversal of 2335440113400 is 43110445332.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 52415932 + ... + 52460468.

Almost surely, 2^{2335440113400} is an apocalyptic number.

2335440113400 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 2335440113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945535907040).

2335440113400 is an abundant number, since it is smaller than the sum of its proper divisors (5555631700680).

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

2335440113400 is a wasteful number, since it uses less digits than its factorization.

2335440113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44723 (or 44714 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2335440113400 its reverse (43110445332), we get a palindrome (2378550558732).

The spelling of 2335440113400 in words is "two trillion, three hundred thirty-five billion, four hundred forty million, one hundred thirteen thousand, four hundred".