40451120837568 has 336 divisors, whose sum is σ = 143983193303040. Its totient is φ = 10595975731200.

The previous prime is 40451120837551. The next prime is 40451120837573. The reversal of 40451120837568 is 86573802115404.

It is a happy number.

40451120837568 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 1 + 1 + 208 + 375 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6141723 + ... + 10891418.

It is an arithmetic number, because the mean of its divisors is an integer number (428521408640).

Almost surely, 2^{40451120837568} is an apocalyptic number.

40451120837568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40451120837568 is an abundant number, since it is smaller than the sum of its proper divisors (103532072465472).

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

40451120837568 is a wasteful number, since it uses less digits than its factorization.

40451120837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17033216 (or 17033203 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 40451120837568 in words is "forty trillion, four hundred fifty-one billion, one hundred twenty million, eight hundred thirty-seven thousand, five hundred sixty-eight".