4233420200400 has 180 divisors, whose sum is σ = 13585048510176. Its totient is φ = 1126918272000.

The previous prime is 4233420200377. The next prime is 4233420200411. The reversal of 4233420200400 is 40020243324.

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 35 ways as a sum of consecutive naturals, for example, 433436317 + ... + 433446083.

Almost surely, 2^{4233420200400} is an apocalyptic number.

4233420200400 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 4233420200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792524255088).

4233420200400 is an abundant number, since it is smaller than the sum of its proper divisors (9351628309776).

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

4233420200400 is an equidigital number, since it uses as much as digits as its factorization.

4233420200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4233420200400 its reverse (40020243324), we get a palindrome (4273440443724).

The spelling of 4233420200400 in words is "four trillion, two hundred thirty-three billion, four hundred twenty million, two hundred thousand, four hundred".