74051919901440 has 2592 divisors, whose sum is σ = 310824290649600. Its totient is φ = 16149098004480.

The previous prime is 74051919901429. The next prime is 74051919901459. The reversal of 74051919901440 is 4410991915047.

It is a happy number.

74051919901440 is a `hidden beast` number, since 7 + 4 + 0 + 5 + 1 + 9 + 199 + 0 + 1 + 440 = 666.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 51460680241 + ... + 51460681679.

It is an arithmetic number, because the mean of its divisors is an integer number (119916778800).

Almost surely, 2^{74051919901440} 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 74051919901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155412145324800).

74051919901440 is an abundant number, since it is smaller than the sum of its proper divisors (236772370748160).

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

74051919901440 is a wasteful number, since it uses less digits than its factorization.

74051919901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 74051919901440 in words is "seventy-four trillion, fifty-one billion, nine hundred nineteen million, nine hundred one thousand, four hundred forty".