1143267840 has 480 divisors, whose sum is σ = 4665076416. Its totient is φ = 255098880.

The previous prime is 1143267787. The next prime is 1143267859. The reversal of 1143267840 is 487623411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1143267840² = 2614122707956531200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1143267795 and 1143267804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294547 + ... + 3294893.

Almost surely, 2^1143267840 is an apocalyptic number.

1143267840 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 1143267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332538208).

1143267840 is an abundant number, since it is smaller than the sum of its proper divisors (3521808576).

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

1143267840 is a wasteful number, since it uses less digits than its factorization.

1143267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1143267840 is about 33812.2439361838. The cubic root of 1143267840 is about 1045.6411410171.

The spelling of 1143267840 in words is "one billion, one hundred forty-three million, two hundred sixty-seven thousand, eight hundred forty".