40346546688 has 640 divisors, whose sum is σ = 142467072000. Its totient is φ = 11266117632.

The previous prime is 40346546687. The next prime is 40346546701. The reversal of 40346546688 is 88664564304.

40346546688 is a `hidden beast` number, since 4 + 0 + 34 + 6 + 546 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40346546687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317689281 + ... + 317689407.

It is an arithmetic number, because the mean of its divisors is an integer number (222604800).

Almost surely, 2^40346546688 is an apocalyptic number.

40346546688 is a gapful number since it is divisible by the number (48) 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 40346546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71233536000).

40346546688 is an abundant number, since it is smaller than the sum of its proper divisors (102120525312).

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

40346546688 is an equidigital number, since it uses as much as digits as its factorization.

40346546688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 40346546688 in words is "forty billion, three hundred forty-six million, five hundred forty-six thousand, six hundred eighty-eight".