40320412121140 has 24 divisors (see below), whose sum is σ = 87592619436840. Its totient is φ = 15572021232768.

The previous prime is 40320412121137. The next prime is 40320412121149. The reversal of 40320412121140 is 4112121402304.

It can be written as a sum of positive squares in 4 ways, for example, as 76842057616 + 40243570063524 = 277204^2 + 6343782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320412121149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34758975387 + ... + 34758976546.

It is an arithmetic number, because the mean of its divisors is an integer number (3649692476535).

Almost surely, 2^{40320412121140} is an apocalyptic number.

It is an amenable number.

40320412121140 is an abundant number, since it is smaller than the sum of its proper divisors (47272207315700).

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

40320412121140 is a wasteful number, since it uses less digits than its factorization.

40320412121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69517951971 (or 69517951969 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 40320412121140 its reverse (4112121402304), we get a palindrome (44432533523444).

The spelling of 40320412121140 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, one hundred twenty-one thousand, one hundred forty".