741138709248 has 432 divisors, whose sum is σ = 2591568435456. Its totient is φ = 206824181760.

The previous prime is 741138709231. The next prime is 741138709361. The reversal of 741138709248 is 842907831147.

741138709248 is a `hidden beast` number, since 7 + 4 + 11 + 387 + 0 + 9 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 741138709194 and 741138709203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18704818 + ... + 18744398.

It is an arithmetic number, because the mean of its divisors is an integer number (5999001008).

Almost surely, 2^741138709248 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 741138709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295784217728).

741138709248 is an abundant number, since it is smaller than the sum of its proper divisors (1850429726208).

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

741138709248 is an equidigital number, since it uses as much as digits as its factorization.

741138709248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39662 (or 39636 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 741138709248 in words is "seven hundred forty-one billion, one hundred thirty-eight million, seven hundred nine thousand, two hundred forty-eight".