4023430400 has 216 divisors, whose sum is σ = 11039022624. Its totient is φ = 1439539200.

The previous prime is 4023430363. The next prime is 4023430487. The reversal of 4023430400 is 40343204.

It is a happy number.

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

It is a congruent number.

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, 4716374 + ... + 4717226.

Almost surely, 2^4023430400 is an apocalyptic number.

4023430400 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 4023430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519511312).

4023430400 is an abundant number, since it is smaller than the sum of its proper divisors (7015592224).

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

4023430400 is a wasteful number, since it uses less digits than its factorization.

4023430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 938 counting only the distinct ones).

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

The square root of 4023430400 is about 63430.5163150987. The cubic root of 4023430400 is about 1590.4944732666.

Adding to 4023430400 its reverse (40343204), we get a palindrome (4063773604).

The spelling of 4023430400 in words is "four billion, twenty-three million, four hundred thirty thousand, four hundred".