1240414560 has 720 divisors, whose sum is σ = 5547836448. Its totient is φ = 255467520.

The previous prime is 1240414523. The next prime is 1240414573. The reversal of 1240414560 is 654140421.

1240414560 is a `hidden beast` number, since 1 + 240 + 414 + 5 + 6 + 0 = 666.

1240414560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10977064 + ... + 10977176.

Almost surely, 2^1240414560 is an apocalyptic number.

1240414560 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 1240414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773918224).

1240414560 is an abundant number, since it is smaller than the sum of its proper divisors (4307421888).

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

1240414560 is a wasteful number, since it uses less digits than its factorization.

1240414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1240414560 is about 35219.5195878649. The cubic root of 1240414560 is about 1074.4567826965.

Adding to 1240414560 its reverse (654140421), we get a palindrome (1894554981).

The spelling of 1240414560 in words is "one billion, two hundred forty million, four hundred fourteen thousand, five hundred sixty".