4026398400 has 252 divisors, whose sum is σ = 14934206352. Its totient is φ = 1026938880.

The previous prime is 4026398381. The next prime is 4026398401. The reversal of 4026398400 is 48936204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026398401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325122 + ... + 337278.

Almost surely, 2^4026398400 is an apocalyptic number.

4026398400 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 4026398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467103176).

4026398400 is an abundant number, since it is smaller than the sum of its proper divisors (10907807952).

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

4026398400 is a wasteful number, since it uses less digits than its factorization.

4026398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4026398400 is about 63453.9076810877. The cubic root of 4026398400 is about 1590.8854685818.

The spelling of 4026398400 in words is "four billion, twenty-six million, three hundred ninety-eight thousand, four hundred".