40546632941568 has 720 divisors, whose sum is σ = 136504662892416. Its totient is φ = 11933106831360.

The previous prime is 40546632941489. The next prime is 40546632941569. The reversal of 40546632941568 is 86514923664504.

It is a happy number.

40546632941568 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 6 + 6 + 3 + 29 + 41 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40546632941569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190395258 + ... + 1190429318.

Almost surely, 2^{40546632941568} is an apocalyptic number.

40546632941568 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 40546632941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68252331446208).

40546632941568 is an abundant number, since it is smaller than the sum of its proper divisors (95958029950848).

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

40546632941568 is an equidigital number, since it uses as much as digits as its factorization.

40546632941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34140 (or 34102 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 40546632941568 in words is "forty trillion, five hundred forty-six billion, six hundred thirty-two million, nine hundred forty-one thousand, five hundred sixty-eight".