40221034133104 has 80 divisors (see below), whose sum is σ = 86042109202560. Its totient is φ = 18060923828480.

The previous prime is 40221034133087. The next prime is 40221034133107. The reversal of 40221034133104 is 40133143012204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221034133107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270743454 + ... + 270891970.

It is an arithmetic number, because the mean of its divisors is an integer number (1075526365032).

Almost surely, 2^{40221034133104} is an apocalyptic number.

40221034133104 is a gapful number since it is divisible by the number (44) 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 40221034133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43021054601280).

40221034133104 is an abundant number, since it is smaller than the sum of its proper divisors (45821075069456).

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

40221034133104 is a wasteful number, since it uses less digits than its factorization.

40221034133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167158 (or 167152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 40221034133104 its reverse (40133143012204), we get a palindrome (80354177145308).

The spelling of 40221034133104 in words is "forty trillion, two hundred twenty-one billion, thirty-four million, one hundred thirty-three thousand, one hundred four".