444721000247700 has 288 divisors, whose sum is σ = 1487955224770560. Its totient is φ = 101354393548800.

The previous prime is 444721000247687. The next prime is 444721000247707. The reversal of 444721000247700 is 7742000127444.

It is a super-2 number, since 2×444721000247700² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444721000247707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45047461 + ... + 54025139.

It is an arithmetic number, because the mean of its divisors is an integer number (5166511197120).

Almost surely, 2^{444721000247700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444721000247700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743977612385280).

444721000247700 is an abundant number, since it is smaller than the sum of its proper divisors (1043234224522860).

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

444721000247700 is a wasteful number, since it uses less digits than its factorization.

444721000247700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978607 (or 8978600 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 42.

The spelling of 444721000247700 in words is "four hundred forty-four trillion, seven hundred twenty-one billion, two hundred forty-seven thousand, seven hundred".