1161351400 has 192 divisors, whose sum is σ = 3093552000. Its totient is φ = 401587200.

The previous prime is 1161351377. The next prime is 1161351403. The reversal of 1161351400 is 41531611.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1161351403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6954117 + ... + 6954283.

It is an arithmetic number, because the mean of its divisors is an integer number (16112250).

Almost surely, 2^1161351400 is an apocalyptic number.

1161351400 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 1161351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546776000).

1161351400 is an abundant number, since it is smaller than the sum of its proper divisors (1932200600).

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

1161351400 is a wasteful number, since it uses less digits than its factorization.

1161351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1161351400 is about 34078.6061921552. The cubic root of 1161351400 is about 1051.1254448080.

The spelling of 1161351400 in words is "one billion, one hundred sixty-one million, three hundred fifty-one thousand, four hundred".