40121307072 has 896 divisors, whose sum is σ = 155058831360. Its totient is φ = 9870336000.

The previous prime is 40121306941. The next prime is 40121307077. The reversal of 40121307072 is 27070312104.

It is a happy number.

40121307072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121307077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292856188 + ... + 292856324.

Almost surely, 2^40121307072 is an apocalyptic number.

40121307072 is a gapful number since it is divisible by the number (42) 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 40121307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77529415680).

40121307072 is an abundant number, since it is smaller than the sum of its proper divisors (114937524288).

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

40121307072 is a wasteful number, since it uses less digits than its factorization.

40121307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 40121307072 its reverse (27070312104), we get a palindrome (67191619176).

The spelling of 40121307072 in words is "forty billion, one hundred twenty-one million, three hundred seven thousand, seventy-two".