1142400040 has 64 divisors (see below), whose sum is σ = 2630476800. Its totient is φ = 446404608.

The previous prime is 1142400037. The next prime is 1142400071. The reversal of 1142400040 is 400042411.

It is a junction number, because it is equal to n+sod(n) for n = 1142399987 and 1142400023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304657 + ... + 308383.

It is an arithmetic number, because the mean of its divisors is an integer number (41101200).

Almost surely, 2^1142400040 is an apocalyptic number.

1142400040 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 1142400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315238400).

1142400040 is an abundant number, since it is smaller than the sum of its proper divisors (1488076760).

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

1142400040 is a wasteful number, since it uses less digits than its factorization.

1142400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1142400040 is about 33799.4088705705. The cubic root of 1142400040 is about 1045.3765086370.

Adding to 1142400040 its reverse (400042411), we get a palindrome (1542442451).

The spelling of 1142400040 in words is "one billion, one hundred forty-two million, four hundred thousand, forty".