742408040 has 64 divisors (see below), whose sum is σ = 1830548160. Its totient is φ = 268741120.

The previous prime is 742408031. The next prime is 742408061. The reversal of 742408040 is 40804247.

It is a junction number, because it is equal to n+sod(n) for n = 742407994 and 742408012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96164 + ... + 103596.

It is an arithmetic number, because the mean of its divisors is an integer number (28602315).

Almost surely, 2^742408040 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 742408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915274080).

742408040 is an abundant number, since it is smaller than the sum of its proper divisors (1088140120).

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

742408040 is a wasteful number, since it uses less digits than its factorization.

742408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 742408040 is about 27247.1657241629. The cubic root of 742408040 is about 905.4842254668.

The spelling of 742408040 in words is "seven hundred forty-two million, four hundred eight thousand, forty".