4244237126400 has 216 divisors, whose sum is σ = 14164252961040. Its totient is φ = 1119079301120.

The previous prime is 4244237126359. The next prime is 4244237126419. The reversal of 4244237126400 is 46217324424.

It is a super-2 number, since 2×4244237126400² (a number of 26 digits) contains 22 as substring.

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, 466924 + ... + 2950676.

It is an arithmetic number, because the mean of its divisors is an integer number (65575245190).

Almost surely, 2^{4244237126400} is an apocalyptic number.

4244237126400 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 4244237126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082126480520).

4244237126400 is an abundant number, since it is smaller than the sum of its proper divisors (9920015834640).

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

4244237126400 is a wasteful number, since it uses less digits than its factorization.

4244237126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483871 (or 2483852 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 4244237126400 in words is "four trillion, two hundred forty-four billion, two hundred thirty-seven million, one hundred twenty-six thousand, four hundred".