40634594058240 has 6048 divisors, whose sum is σ = 201542095853280. Its totient is φ = 7790886125568.

The previous prime is 40634594058217. The next prime is 40634594058307. The reversal of 40634594058240 is 4285049543604.

40634594058240 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 4 + 59 + 4 + 0 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 1401192898546 + ... + 1401192898574.

It is an arithmetic number, because the mean of its divisors is an integer number (33323759235).

Almost surely, 2^{40634594058240} is an apocalyptic number.

40634594058240 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 40634594058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100771047926640).

40634594058240 is an abundant number, since it is smaller than the sum of its proper divisors (160907501795040).

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

40634594058240 is a wasteful number, since it uses less digits than its factorization.

40634594058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 40634594058240 in words is "forty trillion, six hundred thirty-four billion, five hundred ninety-four million, fifty-eight thousand, two hundred forty".