40846369027680 has 1152 divisors, whose sum is σ = 151290791608320. Its totient is φ = 10010044661760.

The previous prime is 40846369027613. The next prime is 40846369027687. The reversal of 40846369027680 is 8672096364804.

40846369027680 is a `hidden beast` number, since 4 + 0 + 8 + 463 + 6 + 90 + 2 + 7 + 6 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40846369027687) 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 191 ways as a sum of consecutive naturals, for example, 23734089220 + ... + 23734090940.

It is an arithmetic number, because the mean of its divisors is an integer number (131328812160).

Almost surely, 2^{40846369027680} is an apocalyptic number.

40846369027680 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 40846369027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75645395804160).

40846369027680 is an abundant number, since it is smaller than the sum of its proper divisors (110444422580640).

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

40846369027680 is a wasteful number, since it uses less digits than its factorization.

40846369027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 40846369027680 in words is "forty trillion, eight hundred forty-six billion, three hundred sixty-nine million, twenty-seven thousand, six hundred eighty".