741565440 has 792 divisors, whose sum is σ = 3397692480. Its totient is φ = 145981440.

The previous prime is 741565439. The next prime is 741565493. The reversal of 741565440 is 44565147.

It is a tau number, because it is divible by the number of its divisors (792).

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 = 741565395 and 741565404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39029751 + ... + 39029769.

Almost surely, 2^741565440 is an apocalyptic number.

741565440 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 741565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698846240).

741565440 is an abundant number, since it is smaller than the sum of its proper divisors (2656127040).

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

741565440 is a wasteful number, since it uses less digits than its factorization.

741565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 741565440 is about 27231.6991757767. The cubic root of 741565440 is about 905.1415343896.

The spelling of 741565440 in words is "seven hundred forty-one million, five hundred sixty-five thousand, four hundred forty".