741249258120 has 576 divisors, whose sum is σ = 2894663977920. Its totient is φ = 163923637248.

The previous prime is 741249258031. The next prime is 741249258133. The reversal of 741249258120 is 21852942147.

741249258120 is a `hidden beast` number, since 7 + 4 + 1 + 2 + 49 + 2 + 581 + 20 = 666.

It is a super-4 number, since 4×741249258120⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 81157074 + ... + 81166206.

It is an arithmetic number, because the mean of its divisors is an integer number (5025458295).

Almost surely, 2^741249258120 is an apocalyptic number.

741249258120 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 741249258120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447331988960).

741249258120 is an abundant number, since it is smaller than the sum of its proper divisors (2153414719800).

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

741249258120 is a wasteful number, since it uses less digits than its factorization.

741249258120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 741249258120 in words is "seven hundred forty-one billion, two hundred forty-nine million, two hundred fifty-eight thousand, one hundred twenty".