74121899742 has 288 divisors, whose sum is σ = 193713811200. Its totient is φ = 21062384640.

The previous prime is 74121899741. The next prime is 74121899779. The reversal of 74121899742 is 24799812147.

74121899742 is a `hidden beast` number, since 7 + 412 + 189 + 9 + 7 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74121899741) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 372471759 + ... + 372471957.

It is an arithmetic number, because the mean of its divisors is an integer number (672617400).

Almost surely, 2^74121899742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74121899742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96856905600).

74121899742 is an abundant number, since it is smaller than the sum of its proper divisors (119591911458).

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

74121899742 is a wasteful number, since it uses less digits than its factorization.

74121899742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 427 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 74121899742 in words is "seventy-four billion, one hundred twenty-one million, eight hundred ninety-nine thousand, seven hundred forty-two".