4226006400 has 384 divisors, whose sum is σ = 17357103360. Its totient is φ = 877977600.

The previous prime is 4226006399. The next prime is 4226006437. The reversal of 4226006400 is 46006224.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736342 + ... + 742058.

It is an arithmetic number, because the mean of its divisors is an integer number (45200790).

Almost surely, 2^4226006400 is an apocalyptic number.

4226006400 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 4226006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678551680).

4226006400 is an abundant number, since it is smaller than the sum of its proper divisors (13131096960).

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

4226006400 is a wasteful number, since it uses less digits than its factorization.

4226006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4226006400 is about 65007.7410775055. The cubic root of 4226006400 is about 1616.7519129362.

The spelling of 4226006400 in words is "four billion, two hundred twenty-six million, six thousand, four hundred".