741095040 has 256 divisors, whose sum is σ = 2743326720. Its totient is φ = 166662144.

The previous prime is 741095023. The next prime is 741095053. The reversal of 741095040 is 40590147.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 741094989 and 741095007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900069 + ... + 900891.

It is an arithmetic number, because the mean of its divisors is an integer number (10716120).

Almost surely, 2^741095040 is an apocalyptic number.

741095040 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 741095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371663360).

741095040 is an abundant number, since it is smaller than the sum of its proper divisors (2002231680).

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

741095040 is a wasteful number, since it uses less digits than its factorization.

741095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 741095040 is about 27223.0608124803. The cubic root of 741095040 is about 904.9501066274.

The spelling of 741095040 in words is "seven hundred forty-one million, ninety-five thousand, forty".