741326040 has 512 divisors, whose sum is σ = 3209472000. Its totient is φ = 147806208.

The previous prime is 741326029. The next prime is 741326083. The reversal of 741326040 is 40623147.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 741325995 and 741326013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1867122 + ... + 1867518.

It is an arithmetic number, because the mean of its divisors is an integer number (6268500).

Almost surely, 2^741326040 is an apocalyptic number.

741326040 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 741326040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604736000).

741326040 is an abundant number, since it is smaller than the sum of its proper divisors (2468145960).

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

741326040 is a wasteful number, since it uses less digits than its factorization.

741326040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 741326040 is about 27227.3032083605. The cubic root of 741326040 is about 905.0441214512.

Adding to 741326040 its reverse (40623147), we get a palindrome (781949187).

The spelling of 741326040 in words is "seven hundred forty-one million, three hundred twenty-six thousand, forty".