74126485440 has 168 divisors, whose sum is σ = 291387763680. Its totient is φ = 16943192064.

The previous prime is 74126485439. The next prime is 74126485441. The reversal of 74126485440 is 4458462147.

74126485440 is a `hidden beast` number, since 7 + 4 + 126 + 4 + 85 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (74126485439) and next prime (74126485441).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74126485441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818295 + ... + 1858614.

Almost surely, 2^74126485440 is an apocalyptic number.

74126485440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74126485440 is an abundant number, since it is smaller than the sum of its proper divisors (217261278240).

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

74126485440 is a wasteful number, since it uses less digits than its factorization.

74126485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676939 (or 3676926 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 74126485440 in words is "seventy-four billion, one hundred twenty-six million, four hundred eighty-five thousand, four hundred forty".