1161440467200 has 1296 divisors, whose sum is σ = 4678133705280. Its totient is φ = 285310771200.

The previous prime is 1161440467129. The next prime is 1161440467247. The reversal of 1161440467200 is 27640441611.

It is a happy number.

1161440467200 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 440 + 4 + 6 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 2365458955 + ... + 2365459445.

Almost surely, 2^{1161440467200} is an apocalyptic number.

1161440467200 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 1161440467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339066852640).

1161440467200 is an abundant number, since it is smaller than the sum of its proper divisors (3516693238080).

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

1161440467200 is an frugal number, since it uses more digits than its factorization.

1161440467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1161440467200 in words is "one trillion, one hundred sixty-one billion, four hundred forty million, four hundred sixty-seven thousand, two hundred".