40121316864 has 240 divisors, whose sum is σ = 124871226480. Its totient is φ = 12359761920.

The previous prime is 40121316841. The next prime is 40121316881. The reversal of 40121316864 is 46861312104.

40121316864 is a `hidden beast` number, since 401 + 2 + 131 + 68 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3584044 + ... + 3595220.

It is an arithmetic number, because the mean of its divisors is an integer number (520296777).

Almost surely, 2^40121316864 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 40121316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62435613240).

40121316864 is an abundant number, since it is smaller than the sum of its proper divisors (84749909616).

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

40121316864 is a wasteful number, since it uses less digits than its factorization.

40121316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 40121316864 its reverse (46861312104), we get a palindrome (86982628968).

The spelling of 40121316864 in words is "forty billion, one hundred twenty-one million, three hundred sixteen thousand, eight hundred sixty-four".