74415335040 has 480 divisors, whose sum is σ = 270869256900. Its totient is φ = 19466625024.

The previous prime is 74415335021. The next prime is 74415335069. The reversal of 74415335040 is 4053351447.

74415335040 is a `hidden beast` number, since 74 + 4 + 1 + 533 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70318310976 + 4097024064 = 265176^2 + 64008^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 = 74415334986 and 74415335004.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 585947457 + ... + 585947583.

Almost surely, 2^74415335040 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 74415335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135434628450).

74415335040 is an abundant number, since it is smaller than the sum of its proper divisors (196453921860).

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

74415335040 is an equidigital number, since it uses as much as digits as its factorization.

74415335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 74415335040 its reverse (4053351447), we get a palindrome (78468686487).

The spelling of 74415335040 in words is "seventy-four billion, four hundred fifteen million, three hundred thirty-five thousand, forty".