40836912480 has 768 divisors, whose sum is σ = 178447933440. Its totient is φ = 8492138496.

The previous prime is 40836912463. The next prime is 40836912517. The reversal of 40836912480 is 8421963804.

It is a happy number.

40836912480 is a `hidden beast` number, since 4 + 0 + 83 + 6 + 91 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28697049 + ... + 28698471.

It is an arithmetic number, because the mean of its divisors is an integer number (232354080).

Almost surely, 2^40836912480 is an apocalyptic number.

40836912480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40836912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89223966720).

40836912480 is an abundant number, since it is smaller than the sum of its proper divisors (137611020960).

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

40836912480 is a wasteful number, since it uses less digits than its factorization.

40836912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40836912480 in words is "forty billion, eight hundred thirty-six million, nine hundred twelve thousand, four hundred eighty".