1241340672 has 288 divisors, whose sum is σ = 3955875840. Its totient is φ = 340623360.

The previous prime is 1241340671. The next prime is 1241340677. The reversal of 1241340672 is 2760431421.

It is a super-3 number, since 3×1241340672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1241340671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9774273 + ... + 9774399.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^1241340672 is an apocalyptic number.

1241340672 is a gapful number since it is divisible by the number (12) 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 1241340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

1241340672 is an abundant number, since it is smaller than the sum of its proper divisors (2714535168).

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

1241340672 is a wasteful number, since it uses less digits than its factorization.

1241340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1241340672 is about 35232.6648438633. The cubic root of 1241340672 is about 1074.7241179920.

The spelling of 1241340672 in words is "one billion, two hundred forty-one million, three hundred forty thousand, six hundred seventy-two".