40444101200 has 120 divisors (see below), whose sum is σ = 98938217400. Its totient is φ = 15885434880.

The previous prime is 40444101193. The next prime is 40444101221. The reversal of 40444101200 is 210144404.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 29334097984 + 11110003216 = 171272^2 + 105404^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4922696 + ... + 4930904.

It is an arithmetic number, because the mean of its divisors is an integer number (824485145).

Almost surely, 2^40444101200 is an apocalyptic number.

40444101200 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 40444101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49469108700).

40444101200 is an abundant number, since it is smaller than the sum of its proper divisors (58494116200).

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

40444101200 is a wasteful number, since it uses less digits than its factorization.

40444101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40444101200 its reverse (210144404), we get a palindrome (40654245604).

The spelling of 40444101200 in words is "forty billion, four hundred forty-four million, one hundred one thousand, two hundred".