233140013400 has 192 divisors, whose sum is σ = 826228903680. Its totient is φ = 53273203200.

The previous prime is 233140013371. The next prime is 233140013419. The reversal of 233140013400 is 4310041332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19469415 + ... + 19481385.

It is an arithmetic number, because the mean of its divisors is an integer number (4303275540).

Almost surely, 2^233140013400 is an apocalyptic number.

233140013400 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 233140013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413114451840).

233140013400 is an abundant number, since it is smaller than the sum of its proper divisors (593088890280).

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

233140013400 is a wasteful number, since it uses less digits than its factorization.

233140013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16634 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233140013400 its reverse (4310041332), we get a palindrome (237450054732).

The spelling of 233140013400 in words is "two hundred thirty-three billion, one hundred forty million, thirteen thousand, four hundred".