1040739840 has 480 divisors, whose sum is σ = 4289725440. Its totient is φ = 236888064.

The previous prime is 1040739827. The next prime is 1040739863. The reversal of 1040739840 is 489370401.

It is a happy number.

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

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 = 1040739795 and 1040739804.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4354441 + ... + 4354679.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^1040739840 is an apocalyptic number.

1040739840 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 1040739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1040739840 is an abundant number, since it is smaller than the sum of its proper divisors (3248985600).

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

1040739840 is an frugal number, since it uses more digits than its factorization.

1040739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1040739840 is about 32260.4996861487. The cubic root of 1040739840 is about 1013.3995955439.

The spelling of 1040739840 in words is "one billion, forty million, seven hundred thirty-nine thousand, eight hundred forty".