4091261488608 has 192 divisors, whose sum is σ = 13101744660480. Its totient is φ = 1091811571200.

The previous prime is 4091261488607. The next prime is 4091261488621. The reversal of 4091261488608 is 8068841621904.

It is a happy number.

It is a super-2 number, since 2×4091261488608² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4091261488607) 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 31 ways as a sum of consecutive naturals, for example, 1350028 + ... + 3163083.

It is an arithmetic number, because the mean of its divisors is an integer number (68238253440).

Almost surely, 2^{4091261488608} is an apocalyptic number.

4091261488608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4091261488608 is an abundant number, since it is smaller than the sum of its proper divisors (9010483171872).

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

4091261488608 is a wasteful number, since it uses less digits than its factorization.

4091261488608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513221 (or 4513213 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 4091261488608 in words is "four trillion, ninety-one billion, two hundred sixty-one million, four hundred eighty-eight thousand, six hundred eight".