741352561256250 has 480 divisors, whose sum is σ = 2090921773691520. Its totient is φ = 196308193680000.

The previous prime is 741352561256189. The next prime is 741352561256287. The reversal of 741352561256250 is 52652165253147.

741352561256250 is a `hidden beast` number, since 7 + 4 + 1 + 3 + 5 + 2 + 5 + 6 + 1 + 2 + 5 + 625 + 0 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 93759014797 + ... + 93759022703.

It is an arithmetic number, because the mean of its divisors is an integer number (4356087028524).

Almost surely, 2^{741352561256250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741352561256250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045460886845760).

741352561256250 is an abundant number, since it is smaller than the sum of its proper divisors (1349569212435270).

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

741352561256250 is a wasteful number, since it uses less digits than its factorization.

741352561256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 741352561256250 in words is "seven hundred forty-one trillion, three hundred fifty-two billion, five hundred sixty-one million, two hundred fifty-six thousand, two hundred fifty".