1141106400 has 288 divisors, whose sum is σ = 4717198080. Its totient is φ = 260789760.

The previous prime is 1141106371. The next prime is 1141106401. The reversal of 1141106400 is 46011411.

1141106400 is a `hidden beast` number, since 1 + 14 + 1 + 10 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1141106400² = 2604247632241920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141106401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147427 + ... + 154973.

It is an arithmetic number, because the mean of its divisors is an integer number (16379160).

Almost surely, 2^1141106400 is an apocalyptic number.

1141106400 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 1141106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358599040).

1141106400 is an abundant number, since it is smaller than the sum of its proper divisors (3576091680).

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

1141106400 is a wasteful number, since it uses less digits than its factorization.

1141106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141106400 is about 33780.2664287895. The cubic root of 1141106400 is about 1044.9817690248.

Adding to 1141106400 its reverse (46011411), we get a palindrome (1187117811).

The spelling of 1141106400 in words is "one billion, one hundred forty-one million, one hundred six thousand, four hundred".