1149171959040 has 864 divisors, whose sum is σ = 4399271243136. Its totient is φ = 254765629440.

The previous prime is 1149171959021. The next prime is 1149171959069. The reversal of 1149171959040 is 409591719411.

It is a congruent number.

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, 1399721830 + ... + 1399722650.

It is an arithmetic number, because the mean of its divisors is an integer number (5091749124).

Almost surely, 2^{1149171959040} is an apocalyptic number.

1149171959040 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 1149171959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199635621568).

1149171959040 is an abundant number, since it is smaller than the sum of its proper divisors (3250099284096).

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

1149171959040 is a wasteful number, since it uses less digits than its factorization.

1149171959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 51.

The spelling of 1149171959040 in words is "one trillion, one hundred forty-nine billion, one hundred seventy-one million, nine hundred fifty-nine thousand, forty".