742838040 has 240 divisors, whose sum is σ = 2905016400. Its totient is φ = 169755264.

The previous prime is 742838017. The next prime is 742838059. The reversal of 742838040 is 40838247.

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 = 742837986 and 742838004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 156421 + ... + 161099.

It is an arithmetic number, because the mean of its divisors is an integer number (12104235).

Almost surely, 2^742838040 is an apocalyptic number.

742838040 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 742838040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452508200).

742838040 is an abundant number, since it is smaller than the sum of its proper divisors (2162178360).

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

742838040 is a wasteful number, since it uses less digits than its factorization.

742838040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 742838040 is about 27255.0553108960. The cubic root of 742838040 is about 905.6590094348.

The spelling of 742838040 in words is "seven hundred forty-two million, eight hundred thirty-eight thousand, forty".