1518400640 has 32 divisors (see below), whose sum is σ = 3629928060. Its totient is φ = 607360000.

The previous prime is 1518400627. The next prime is 1518400643. The reversal of 1518400640 is 460048151.

It can be written as a sum of positive squares in 2 ways, for example, as 1492431424 + 25969216 = 38632^2 + 5096^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1518400643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1185611 + ... + 1186890.

Almost surely, 2^1518400640 is an apocalyptic number.

1518400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1518400640 is an abundant number, since it is smaller than the sum of its proper divisors (2111527420).

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

1518400640 is an equidigital number, since it uses as much as digits as its factorization.

1518400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372520 (or 2372508 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1518400640 is about 38966.6606216134. The cubic root of 1518400640 is about 1149.3760042632.

Adding to 1518400640 its reverse (460048151), we get a palindrome (1978448791).

The spelling of 1518400640 in words is "one billion, five hundred eighteen million, four hundred thousand, six hundred forty".