40122041000 has 96 divisors (see below), whose sum is σ = 95201940600. Its totient is φ = 15826867200.

The previous prime is 40122040993. The next prime is 40122041027. The reversal of 40122041000 is 14022104.

40122041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2110299844 + 38011741156 = 45938^2 + 194966^2 .

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, 5325236 + ... + 5332764.

Almost surely, 2^40122041000 is an apocalyptic number.

40122041000 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 40122041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47600970300).

40122041000 is an abundant number, since it is smaller than the sum of its proper divisors (55079899600).

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

40122041000 is an equidigital number, since it uses as much as digits as its factorization.

40122041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 40122041000 its reverse (14022104), we get a palindrome (40136063104).

The spelling of 40122041000 in words is "forty billion, one hundred twenty-two million, forty-one thousand".