1415504640 has 576 divisors, whose sum is σ = 5425201152. Its totient is φ = 310886400.

The previous prime is 1415504633. The next prime is 1415504641. The reversal of 1415504640 is 464055141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1415504598 and 1415504607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415504641) by changing a digit.

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, 30117097 + ... + 30117143.

It is an arithmetic number, because the mean of its divisors is an integer number (9418752).

Almost surely, 2^1415504640 is an apocalyptic number.

1415504640 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 1415504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712600576).

1415504640 is an abundant number, since it is smaller than the sum of its proper divisors (4009696512).

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

1415504640 is a wasteful number, since it uses less digits than its factorization.

1415504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1415504640 is about 37623.1928469661. The cubic root of 1415504640 is about 1122.8035207475.

Adding to 1415504640 its reverse (464055141), we get a palindrome (1879559781).

The spelling of 1415504640 in words is "one billion, four hundred fifteen million, five hundred four thousand, six hundred forty".