40306560628020 has 384 divisors, whose sum is σ = 122393510313984. Its totient is φ = 9884114989056.

The previous prime is 40306560628007. The next prime is 40306560628021. The reversal of 40306560628020 is 2082606560304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40306560628021) 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, 2434992064 + ... + 2435008616.

It is an arithmetic number, because the mean of its divisors is an integer number (318733099776).

Almost surely, 2^{40306560628020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40306560628020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196755156992).

40306560628020 is an abundant number, since it is smaller than the sum of its proper divisors (82086949685964).

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

40306560628020 is a wasteful number, since it uses less digits than its factorization.

40306560628020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17191 (or 17189 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 40306560628020 in words is "forty trillion, three hundred six billion, five hundred sixty million, six hundred twenty-eight thousand, twenty".