44420222020400 has 120 divisors (see below), whose sum is σ = 107827371991920. Its totient is φ = 17583675310080.

The previous prime is 44420222020393. The next prime is 44420222020409. The reversal of 44420222020400 is 402022202444.

It is a super-2 number, since 2×44420222020400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44420222020400.

It is not an unprimeable number, because it can be changed into a prime (44420222020409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714936536 + ... + 714998664.

It is an arithmetic number, because the mean of its divisors is an integer number (898561433266).

Almost surely, 2^{44420222020400} is an apocalyptic number.

44420222020400 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 44420222020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913685995960).

44420222020400 is an abundant number, since it is smaller than the sum of its proper divisors (63407149971520).

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

44420222020400 is a wasteful number, since it uses less digits than its factorization.

44420222020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80671 (or 80660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 44420222020400 its reverse (402022202444), we get a palindrome (44822244222844).

The spelling of 44420222020400 in words is "forty-four trillion, four hundred twenty billion, two hundred twenty-two million, twenty thousand, four hundred".