74142038880 has 768 divisors, whose sum is σ = 321753600000. Its totient is φ = 15527116800.

The previous prime is 74142038869. The next prime is 74142038897. The reversal of 74142038880 is 8883024147.

74142038880 is a `hidden beast` number, since 74 + 1 + 420 + 3 + 88 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 59360496 + ... + 59361744.

It is an arithmetic number, because the mean of its divisors is an integer number (418950000).

Almost surely, 2^74142038880 is an apocalyptic number.

74142038880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74142038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800000).

74142038880 is an abundant number, since it is smaller than the sum of its proper divisors (247611561120).

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

74142038880 is a wasteful number, since it uses less digits than its factorization.

74142038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 74142038880 in words is "seventy-four billion, one hundred forty-two million, thirty-eight thousand, eight hundred eighty".