4226072400 has 240 divisors, whose sum is σ = 16409574720. Its totient is φ = 1024473600.

The previous prime is 4226072399. The next prime is 4226072407. The reversal of 4226072400 is 42706224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226072407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101014 + ... + 136586.

It is an arithmetic number, because the mean of its divisors is an integer number (68373228).

Almost surely, 2^4226072400 is an apocalyptic number.

4226072400 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 4226072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204787360).

4226072400 is an abundant number, since it is smaller than the sum of its proper divisors (12183502320).

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

4226072400 is a wasteful number, since it uses less digits than its factorization.

4226072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35611 (or 35594 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4226072400 is about 65008.2487073756. The cubic root of 4226072400 is about 1616.7603294774.

Adding to 4226072400 its reverse (42706224), we get a palindrome (4268778624).

The spelling of 4226072400 in words is "four billion, two hundred twenty-six million, seventy-two thousand, four hundred".