74281123840 has 384 divisors, whose sum is σ = 231928220160. Its totient is φ = 22145925120.

The previous prime is 74281123837. The next prime is 74281123849. The reversal of 74281123840 is 4832118247.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 74281123793 and 74281123802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74281123849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3229614069 + ... + 3229614091.

It is an arithmetic number, because the mean of its divisors is an integer number (603979740).

Almost surely, 2^74281123840 is an apocalyptic number.

74281123840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74281123840 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74281123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115964110080).

74281123840 is an abundant number, since it is smaller than the sum of its proper divisors (157647096320).

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

74281123840 is an frugal number, since it uses more digits than its factorization.

74281123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 74281123840 in words is "seventy-four billion, two hundred eighty-one million, one hundred twenty-three thousand, eight hundred forty".