1141406784 has 252 divisors, whose sum is σ = 3912216204. Its totient is φ = 317011968.

The previous prime is 1141406767. The next prime is 1141406873. The reversal of 1141406784 is 4876041411.

It can be written as a sum of positive squares in 2 ways, for example, as 1084253184 + 57153600 = 32928^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1141406784² = 2605618893122445312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1043742 + ... + 1044834.

Almost surely, 2^1141406784 is an apocalyptic number.

1141406784 is a gapful number since it is divisible by the number (14) 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 1141406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956108102).

1141406784 is an abundant number, since it is smaller than the sum of its proper divisors (2770809420).

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

1141406784 is a wasteful number, since it uses less digits than its factorization.

1141406784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1141406784 is about 33784.7122823327. The cubic root of 1141406784 is about 1045.0734543881.

The spelling of 1141406784 in words is "one billion, one hundred forty-one million, four hundred six thousand, seven hundred eighty-four".