1141176960 has 768 divisors, whose sum is σ = 5132574720. Its totient is φ = 226713600.

The previous prime is 1141176919. The next prime is 1141177001. The reversal of 1141176960 is 696711411.

It is an interprime number because it is at equal distance from previous prime (1141176919) and next prime (1141177001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13749079 + ... + 13749161.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^1141176960 is an apocalyptic number.

1141176960 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 1141176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566287360).

1141176960 is an abundant number, since it is smaller than the sum of its proper divisors (3991397760).

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

1141176960 is a wasteful number, since it uses less digits than its factorization.

1141176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1141176960 is about 33781.3108093810. The cubic root of 1141176960 is about 1045.0033073009.

The spelling of 1141176960 in words is "one billion, one hundred forty-one million, one hundred seventy-six thousand, nine hundred sixty".