40042806480852 has 384 divisors, whose sum is σ = 121244169682944. Its totient is φ = 10014845018112.

The previous prime is 40042806480851. The next prime is 40042806480857. The reversal of 40042806480852 is 25808460824004.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 40042806480795 and 40042806480804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40042806480851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2057371273 + ... + 2057390735.

It is an arithmetic number, because the mean of its divisors is an integer number (315740025216).

Almost surely, 2^{40042806480852} is an apocalyptic number.

40042806480852 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 40042806480852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60622084841472).

40042806480852 is an abundant number, since it is smaller than the sum of its proper divisors (81201363202092).

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

40042806480852 is a wasteful number, since it uses less digits than its factorization.

40042806480852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21245 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 51.

The spelling of 40042806480852 in words is "forty trillion, forty-two billion, eight hundred six million, four hundred eighty thousand, eight hundred fifty-two".