40836700557120 has 448 divisors, whose sum is σ = 141118470372096. Its totient is φ = 9945034260480.

The previous prime is 40836700557007. The next prime is 40836700557139. The reversal of 40836700557120 is 2175500763804.

It is a super-2 number, since 2×40836700557120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40836700557120.

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 63 ways as a sum of consecutive naturals, for example, 6291277075 + ... + 6291283565.

It is an arithmetic number, because the mean of its divisors is an integer number (314996585652).

Almost surely, 2^{40836700557120} is an apocalyptic number.

40836700557120 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 40836700557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70559235186048).

40836700557120 is an abundant number, since it is smaller than the sum of its proper divisors (100281769814976).

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

40836700557120 is a wasteful number, since it uses less digits than its factorization.

40836700557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11818 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 40836700557120 in words is "forty trillion, eight hundred thirty-six billion, seven hundred million, five hundred fifty-seven thousand, one hundred twenty".