1155642400 has 144 divisors (see below), whose sum is σ = 3153735648. Its totient is φ = 409856000.

The previous prime is 1155642353. The next prime is 1155642407. The reversal of 1155642400 is 42465511.

It is not an unprimeable number, because it can be changed into a prime (1155642407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359199 + ... + 362401.

It is an arithmetic number, because the mean of its divisors is an integer number (21900942).

Almost surely, 2^1155642400 is an apocalyptic number.

1155642400 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 1155642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576867824).

1155642400 is an abundant number, since it is smaller than the sum of its proper divisors (1998093248).

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

1155642400 is a wasteful number, since it uses less digits than its factorization.

1155642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1155642400 is about 33994.7407697132. The cubic root of 1155642400 is about 1049.4002319251.

It can be divided in two parts, 11556 and 42400, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 1155642400 in words is "one billion, one hundred fifty-five million, six hundred forty-two thousand, four hundred".