1120144410 has 384 divisors, whose sum is σ = 3900441600. Its totient is φ = 226074240.

The previous prime is 1120144409. The next prime is 1120144429. The reversal of 1120144410 is 144410211.

1120144410 is a `hidden beast` number, since 11 + 201 + 44 + 410 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6257701 + ... + 6257879.

It is an arithmetic number, because the mean of its divisors is an integer number (10157400).

Almost surely, 2^1120144410 is an apocalyptic number.

1120144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950220800).

1120144410 is an abundant number, since it is smaller than the sum of its proper divisors (2780297190).

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

1120144410 is a wasteful number, since it uses less digits than its factorization.

1120144410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1120144410 is about 33468.5585288641. The cubic root of 1120144410 is about 1038.5434522659.

Adding to 1120144410 its reverse (144410211), we get a palindrome (1264554621).

It can be divided in two parts, 11201 and 44410, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1120144410 in words is "one billion, one hundred twenty million, one hundred forty-four thousand, four hundred ten".