1161408441600 has 648 divisors, whose sum is σ = 4726785091392. Its totient is φ = 269308723200.

The previous prime is 1161408441587. The next prime is 1161408441719. The reversal of 1161408441600 is 61448041611.

It is a happy number.

1161408441600 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 0 + 8 + 4 + 41 + 600 = 666.

It is a super-2 number, since 2×1161408441600² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14532952 + ... + 14612648.

Almost surely, 2^{1161408441600} is an apocalyptic number.

1161408441600 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 1161408441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363392545696).

1161408441600 is an abundant number, since it is smaller than the sum of its proper divisors (3565376649792).

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

1161408441600 is a wasteful number, since it uses less digits than its factorization.

1161408441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79763 (or 79741 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1161408441600 in words is "one trillion, one hundred sixty-one billion, four hundred eight million, four hundred forty-one thousand, six hundred".