40220002000000 has 224 divisors, whose sum is σ = 100206246640500. Its totient is φ = 16079923200000.

The previous prime is 40220001999953. The next prime is 40220002000001. The reversal of 40220002000000 is 20002204.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 15189352611904 + 25030649388096 = 3897352^2 + 5003064^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40220002000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5457996316 + ... + 5458003684.

Almost surely, 2^{40220002000000} is an apocalyptic number.

40220002000000 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 40220002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50103123320250).

40220002000000 is an abundant number, since it is smaller than the sum of its proper divisors (59986244640500).

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

40220002000000 is an frugal number, since it uses more digits than its factorization.

40220002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 40220002000000 its reverse (20002204), we get a palindrome (40220022002204).

The spelling of 40220002000000 in words is "forty trillion, two hundred twenty billion, two million", and thus it is an aban number.