4135221480040 has 64 divisors (see below), whose sum is σ = 10732804560000. Its totient is φ = 1404539835648.

The previous prime is 4135221480023. The next prime is 4135221480041. The reversal of 4135221480040 is 400841225314.

It is a super-3 number, since 3×4135221480040³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4135221479978 and 4135221480005.

It is not an unprimeable number, because it can be changed into a prime (4135221480041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68982415 + ... + 69042334.

It is an arithmetic number, because the mean of its divisors is an integer number (167700071250).

Almost surely, 2^{4135221480040} is an apocalyptic number.

4135221480040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135221480040 is an abundant number, since it is smaller than the sum of its proper divisors (6597583079960).

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

4135221480040 is a wasteful number, since it uses less digits than its factorization.

4135221480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138024874 (or 138024870 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 4135221480040 in words is "four trillion, one hundred thirty-five billion, two hundred twenty-one million, four hundred eighty thousand, forty".