742871040 has 208 divisors, whose sum is σ = 2420342208. Its totient is φ = 194510848.

The previous prime is 742871039. The next prime is 742871069. The reversal of 742871040 is 40178247.

It is a junction number, because it is equal to n+sod(n) for n = 742870992 and 742871010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6574024 + ... + 6574136.

Almost surely, 2^742871040 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 742871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210171104).

742871040 is an abundant number, since it is smaller than the sum of its proper divisors (1677471168).

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

742871040 is a wasteful number, since it uses less digits than its factorization.

742871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 742871040 is about 27255.6606964498. The cubic root of 742871040 is about 905.6724203011.

The spelling of 742871040 in words is "seven hundred forty-two million, eight hundred seventy-one thousand, forty".