40406851296 has 720 divisors, whose sum is σ = 148703385600. Its totient is φ = 10531192320.

The previous prime is 40406851187. The next prime is 40406851301. The reversal of 40406851296 is 69215860404.

40406851296 is a `hidden beast` number, since 4 + 0 + 40 + 6 + 8 + 512 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 203049405 + ... + 203049603.

It is an arithmetic number, because the mean of its divisors is an integer number (206532480).

Almost surely, 2^40406851296 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 40406851296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74351692800).

40406851296 is an abundant number, since it is smaller than the sum of its proper divisors (108296534304).

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

40406851296 is a wasteful number, since it uses less digits than its factorization.

40406851296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40406851296 in words is "forty billion, four hundred six million, eight hundred fifty-one thousand, two hundred ninety-six".