244444455013000 has 256 divisors, whose sum is σ = 662610138428160. Its totient is φ = 83419016704000.

The previous prime is 244444455012973. The next prime is 244444455013001. The reversal of 244444455013000 is 310554444442.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (244444455013001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63005442 + ... + 66772558.

It is an arithmetic number, because the mean of its divisors is an integer number (2588320853235).

Almost surely, 2^{244444455013000} is an apocalyptic number.

244444455013000 is a gapful number since it is divisible by the number (20) 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 244444455013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331305069214080).

244444455013000 is an abundant number, since it is smaller than the sum of its proper divisors (418165683415160).

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

244444455013000 is a wasteful number, since it uses less digits than its factorization.

244444455013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767513 (or 3767499 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 244444455013000 in words is "two hundred forty-four trillion, four hundred forty-four billion, four hundred fifty-five million, thirteen thousand".