40416656829120 has 2688 divisors, whose sum is σ = 174784337215488. Its totient is φ = 8436466483200.

The previous prime is 40416656829113. The next prime is 40416656829127. The reversal of 40416656829120 is 2192865661404.

It is a happy number.

40416656829120 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 66 + 568 + 2 + 9 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40416656829113) and next prime (40416656829127).

It is a super-2 number, since 2×40416656829120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40416656829127) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 45565565317 + ... + 45565566203.

It is an arithmetic number, because the mean of its divisors is an integer number (65023934976).

Almost surely, 2^{40416656829120} is an apocalyptic number.

40416656829120 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 40416656829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87392168607744).

40416656829120 is an abundant number, since it is smaller than the sum of its proper divisors (134367680386368).

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

40416656829120 is a wasteful number, since it uses less digits than its factorization.

40416656829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 40416656829120 in words is "forty trillion, four hundred sixteen billion, six hundred fifty-six million, eight hundred twenty-nine thousand, one hundred twenty".