1141002720 has 384 divisors, whose sum is σ = 4694215680. Its totient is φ = 255191040.

The previous prime is 1141002701. The next prime is 1141002727. The reversal of 1141002720 is 272001411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1141002693 and 1141002702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141002727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616837 + ... + 618683.

It is an arithmetic number, because the mean of its divisors is an integer number (12224520).

Almost surely, 2^1141002720 is an apocalyptic number.

1141002720 is a gapful number since it is divisible by the number (10) 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 1141002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347107840).

1141002720 is an abundant number, since it is smaller than the sum of its proper divisors (3553212960).

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

1141002720 is a wasteful number, since it uses less digits than its factorization.

1141002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1141002720 is about 33778.7317701538. The cubic root of 1141002720 is about 1044.9501193349.

The spelling of 1141002720 in words is "one billion, one hundred forty-one million, two thousand, seven hundred twenty".