74084401440 has 864 divisors, whose sum is σ = 313521534144. Its totient is φ = 16460236800.

The previous prime is 74084401409. The next prime is 74084401463. The reversal of 74084401440 is 4410448047.

74084401440 is a `hidden beast` number, since 74 + 0 + 8 + 440 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74084401395 and 74084401404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70488915 + ... + 70489965.

It is an arithmetic number, because the mean of its divisors is an integer number (362872146).

Almost surely, 2^74084401440 is an apocalyptic number.

74084401440 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 74084401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156760767072).

74084401440 is an abundant number, since it is smaller than the sum of its proper divisors (239437132704).

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

74084401440 is a wasteful number, since it uses less digits than its factorization.

74084401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 74084401440 its reverse (4410448047), we get a palindrome (78494849487).

The spelling of 74084401440 in words is "seventy-four billion, eighty-four million, four hundred one thousand, four hundred forty".