4233040400 has 120 divisors (see below), whose sum is σ = 10954938720. Its totient is φ = 1566673920.

The previous prime is 4233040393. The next prime is 4233040423. The reversal of 4233040400 is 40403324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320324 + ... + 333276.

It is an arithmetic number, because the mean of its divisors is an integer number (91291156).

Almost surely, 2^4233040400 is an apocalyptic number.

4233040400 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 4233040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477469360).

4233040400 is an abundant number, since it is smaller than the sum of its proper divisors (6721898320).

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

4233040400 is a wasteful number, since it uses less digits than its factorization.

4233040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4233040400 is about 65061.8198331402. The cubic root of 4233040400 is about 1617.6484196443.

Adding to 4233040400 its reverse (40403324), we get a palindrome (4273443724).

The spelling of 4233040400 in words is "four billion, two hundred thirty-three million, forty thousand, four hundred".