40844764187136 has 2560 divisors, whose sum is σ = 159737276160000. Its totient is φ = 10225538039808.

The previous prime is 40844764187131. The next prime is 40844764187153. The reversal of 40844764187136 is 63178146744804.

40844764187136 is a `hidden beast` number, since 4 + 0 + 8 + 447 + 6 + 4 + 187 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40844764187131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 130494454116 + ... + 130494454428.

It is an arithmetic number, because the mean of its divisors is an integer number (62397373500).

Almost surely, 2^{40844764187136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40844764187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79868638080000).

40844764187136 is an abundant number, since it is smaller than the sum of its proper divisors (118892511972864).

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

40844764187136 is a wasteful number, since it uses less digits than its factorization.

40844764187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 40844764187136 in words is "forty trillion, eight hundred forty-four billion, seven hundred sixty-four million, one hundred eighty-seven thousand, one hundred thirty-six".