40326211296 has 216 divisors, whose sum is σ = 133931659680. Its totient is φ = 11475910656.

The previous prime is 40326211267. The next prime is 40326211301. The reversal of 40326211296 is 69211262304.

It is a happy number.

40326211296 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 621 + 1 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40326211296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3621225 + ... + 3632343.

It is an arithmetic number, because the mean of its divisors is an integer number (620053980).

Almost surely, 2^40326211296 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 40326211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66965829840).

40326211296 is an abundant number, since it is smaller than the sum of its proper divisors (93605448384).

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

40326211296 is a wasteful number, since it uses less digits than its factorization.

40326211296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40326211296 in words is "forty billion, three hundred twenty-six million, two hundred eleven thousand, two hundred ninety-six".