40205133421112 has 64 divisors (see below), whose sum is σ = 83458314144000. Its totient is φ = 18004393808640.

The previous prime is 40205133421097. The next prime is 40205133421121. The reversal of 40205133421112 is 21112433150204.

It is a happy number.

It is a super-2 number, since 2×40205133421112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170139 + ... + 9226037.

It is an arithmetic number, because the mean of its divisors is an integer number (1304036158500).

Almost surely, 2^{40205133421112} 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 40205133421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41729157072000).

40205133421112 is an abundant number, since it is smaller than the sum of its proper divisors (43253180722888).

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

40205133421112 is a wasteful number, since it uses less digits than its factorization.

40205133421112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056876 (or 7056872 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 40205133421112 its reverse (21112433150204), we get a palindrome (61317566571316).

The spelling of 40205133421112 in words is "forty trillion, two hundred five billion, one hundred thirty-three million, four hundred twenty-one thousand, one hundred twelve".