1040286720 has 352 divisors, whose sum is σ = 3735300096. Its totient is φ = 244940800.

The previous prime is 1040286707. The next prime is 1040286721. The reversal of 1040286720 is 276820401.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1040286721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7941055 + ... + 7941185.

It is an arithmetic number, because the mean of its divisors is an integer number (10611648).

Almost surely, 2^1040286720 is an apocalyptic number.

1040286720 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 1040286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867650048).

1040286720 is an abundant number, since it is smaller than the sum of its proper divisors (2695013376).

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

1040286720 is a wasteful number, since it uses less digits than its factorization.

1040286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1040286720 is about 32253.4760917331. The cubic root of 1040286720 is about 1013.2525020166.

The spelling of 1040286720 in words is "one billion, forty million, two hundred eighty-six thousand, seven hundred twenty".