40141266760 has 128 divisors (see below), whose sum is σ = 104868691200. Its totient is φ = 13544248320.

The previous prime is 40141266751. The next prime is 40141266817. The reversal of 40141266760 is 6766214104.

It is a super-2 number, since 2×40141266760² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6248350 + ... + 6254770.

It is an arithmetic number, because the mean of its divisors is an integer number (819286650).

Almost surely, 2^40141266760 is an apocalyptic number.

40141266760 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 40141266760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52434345600).

40141266760 is an abundant number, since it is smaller than the sum of its proper divisors (64727424440).

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

40141266760 is a wasteful number, since it uses less digits than its factorization.

40141266760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 40141266760 in words is "forty billion, one hundred forty-one million, two hundred sixty-six thousand, seven hundred sixty".