1040815440 has 320 divisors, whose sum is σ = 4314009600. Its totient is φ = 225317376.

The previous prime is 1040815411. The next prime is 1040815469. The reversal of 1040815440 is 445180401.

It is a happy number.

1040815440 is a `hidden beast` number, since 1 + 0 + 40 + 81 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1040815411) and next prime (1040815469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285469 + ... + 289091.

It is an arithmetic number, because the mean of its divisors is an integer number (13481280).

Almost surely, 2^1040815440 is an apocalyptic number.

1040815440 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 1040815440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157004800).

1040815440 is an abundant number, since it is smaller than the sum of its proper divisors (3273194160).

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

1040815440 is a wasteful number, since it uses less digits than its factorization.

1040815440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1040815440 is about 32261.6713764182. The cubic root of 1040815440 is about 1013.4241329455.

Adding to 1040815440 its reverse (445180401), we get a palindrome (1485995841).

The spelling of 1040815440 in words is "one billion, forty million, eight hundred fifteen thousand, four hundred forty".