40853241741312 has 3840 divisors, whose sum is σ = 176803643842560. Its totient is φ = 9081213419520.

The previous prime is 40853241741311. The next prime is 40853241741341. The reversal of 40853241741312 is 21314714235804.

40853241741312 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 324 + 1 + 7 + 4 + 1 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (40853241741311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 609749876703 + ... + 609749876769.

It is an arithmetic number, because the mean of its divisors is an integer number (46042615584).

Almost surely, 2^{40853241741312} is an apocalyptic number.

40853241741312 is a gapful number since it is divisible by the number (42) 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 40853241741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88401821921280).

40853241741312 is an abundant number, since it is smaller than the sum of its proper divisors (135950402101248).

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

40853241741312 is an equidigital number, since it uses as much as digits as its factorization.

40853241741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40853241741312 in words is "forty trillion, eight hundred fifty-three billion, two hundred forty-one million, seven hundred forty-one thousand, three hundred twelve".