40791492233856 has 1152 divisors, whose sum is σ = 156221499994560. Its totient is φ = 10091431526400.

The previous prime is 40791492233851. The next prime is 40791492233861. The reversal of 40791492233856 is 65833229419704.

40791492233856 is a `hidden beast` number, since 4 + 0 + 7 + 91 + 492 + 2 + 3 + 3 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (40791492233851) and next prime (40791492233861).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 40791492233793 and 40791492233802.

It is not an unprimeable number, because it can be changed into a prime (40791492233851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3829822131 + ... + 3829832781.

It is a 1-persistent number, because it is pandigital, but 2⋅40791492233856 = 81582984467712 is not.

Almost surely, 2^{40791492233856} 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 40791492233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78110749997280).

40791492233856 is an abundant number, since it is smaller than the sum of its proper divisors (115430007760704).

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

40791492233856 is a wasteful number, since it uses less digits than its factorization.

40791492233856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 40791492233856 in words is "forty trillion, seven hundred ninety-one billion, four hundred ninety-two million, two hundred thirty-three thousand, eight hundred fifty-six".