40444010241000 has 128 divisors (see below), whose sum is σ = 128324046614400. Its totient is φ = 10602271564800.

The previous prime is 40444010240981. The next prime is 40444010241007. The reversal of 40444010241000 is 14201044404.

It is a happy number.

40444010241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40444010241000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40444010241007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114071617 + ... + 114425616.

It is an arithmetic number, because the mean of its divisors is an integer number (1002531614175).

Almost surely, 2^{40444010241000} is an apocalyptic number.

40444010241000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444010241000 is an abundant number, since it is smaller than the sum of its proper divisors (87880036373400).

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

40444010241000 is a wasteful number, since it uses less digits than its factorization.

40444010241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228497316 (or 228497302 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40444010241000 its reverse (14201044404), we get a palindrome (40458211285404).

The spelling of 40444010241000 in words is "forty trillion, four hundred forty-four billion, ten million, two hundred forty-one thousand".