74405151471744 has 2304 divisors, whose sum is σ = 257096523340800. Its totient is φ = 20536522997760.

The previous prime is 74405151471743. The next prime is 74405151471793. The reversal of 74405151471744 is 44717415150447.

It is a happy number.

74405151471744 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 51 + 51 + 471 + 74 + 4 = 666.

It is a super-2 number, since 2×74405151471744² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74405151471743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1110524648799 + ... + 1110524648865.

It is an arithmetic number, because the mean of its divisors is an integer number (111587032700).

Almost surely, 2^{74405151471744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74405151471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128548261670400).

74405151471744 is an abundant number, since it is smaller than the sum of its proper divisors (182691371869056).

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

74405151471744 is a wasteful number, since it uses less digits than its factorization.

74405151471744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 74405151471744 in words is "seventy-four trillion, four hundred five billion, one hundred fifty-one million, four hundred seventy-one thousand, seven hundred forty-four".