1014082440 has 384 divisors, whose sum is σ = 3865968000. Its totient is φ = 211341312.

The previous prime is 1014082429. The next prime is 1014082507. The reversal of 1014082440 is 442804101.

1014082440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1014082440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3239724 + ... + 3240036.

It is an arithmetic number, because the mean of its divisors is an integer number (10067625).

Almost surely, 2^1014082440 is an apocalyptic number.

1014082440 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 1014082440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932984000).

1014082440 is an abundant number, since it is smaller than the sum of its proper divisors (2851885560).

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

1014082440 is a wasteful number, since it uses less digits than its factorization.

1014082440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1014082440 is about 31844.6610909898. The cubic root of 1014082440 is about 1004.6722824444.

Adding to 1014082440 its reverse (442804101), we get a palindrome (1456886541).

The spelling of 1014082440 in words is "one billion, fourteen million, eighty-two thousand, four hundred forty".