1040083408 has 240 divisors, whose sum is σ = 2742949440. Its totient is φ = 377395200.

The previous prime is 1040083399. The next prime is 1040083469. The reversal of 1040083408 is 8043800401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7939503 + ... + 7939633.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2^1040083408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040083408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371474720).

1040083408 is an abundant number, since it is smaller than the sum of its proper divisors (1702866032).

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

1040083408 is a wasteful number, since it uses less digits than its factorization.

1040083408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1040083408 is about 32250.3241534097. The cubic root of 1040083408 is about 1013.1864882242.

Adding to 1040083408 its reverse (8043800401), we get a palindrome (9083883809).

It can be divided in two parts, 104008 and 3408, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 1040083408 in words is "one billion, forty million, eighty-three thousand, four hundred eight".