40041122040 has 384 divisors, whose sum is σ = 143476220160. Its totient is φ = 10008520704.

The previous prime is 40041122039. The next prime is 40041122071. The reversal of 40041122040 is 4022114004.

40041122040 is a `hidden beast` number, since 400 + 4 + 1 + 1 + 220 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73201047 + ... + 73201593.

It is an arithmetic number, because the mean of its divisors is an integer number (373635990).

Almost surely, 2^40041122040 is an apocalyptic number.

40041122040 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 40041122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71738110080).

40041122040 is an abundant number, since it is smaller than the sum of its proper divisors (103435098120).

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

40041122040 is a wasteful number, since it uses less digits than its factorization.

40041122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40041122040 its reverse (4022114004), we get a palindrome (44063236044).

The spelling of 40041122040 in words is "forty billion, forty-one million, one hundred twenty-two thousand, forty".