11142032400 has 180 divisors, whose sum is σ = 39913635840. Its totient is φ = 2875334400.

The previous prime is 11142032329. The next prime is 11142032443. The reversal of 11142032400 is 423024111.

11142032400 is a `hidden beast` number, since 1 + 1 + 1 + 420 + 3 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61681 + ... + 161519.

Almost surely, 2^11142032400 is an apocalyptic number.

11142032400 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 11142032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956817920).

11142032400 is an abundant number, since it is smaller than the sum of its proper divisors (28771603440).

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

11142032400 is a wasteful number, since it uses less digits than its factorization.

11142032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99894 (or 99880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11142032400 its reverse (423024111), we get a palindrome (11565056511).

The spelling of 11142032400 in words is "eleven billion, one hundred forty-two million, thirty-two thousand, four hundred".