1163073311400 has 1152 divisors, whose sum is σ = 4900426352640. Its totient is φ = 221584896000.

The previous prime is 1163073311321. The next prime is 1163073311419. The reversal of 1163073311400 is 41133703611.

It is a super-2 number, since 2×1163073311400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 287 ways as a sum of consecutive naturals, for example, 1413211389 + ... + 1413212211.

It is an arithmetic number, because the mean of its divisors is an integer number (4253842320).

Almost surely, 2^{1163073311400} is an apocalyptic number.

1163073311400 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 1163073311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450213176320).

1163073311400 is an abundant number, since it is smaller than the sum of its proper divisors (3737353041240).

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

1163073311400 is a wasteful number, since it uses less digits than its factorization.

1163073311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 1163073311400 in words is "one trillion, one hundred sixty-three billion, seventy-three million, three hundred eleven thousand, four hundred".