1218263040 has 144 divisors (see below), whose sum is σ = 4222600200. Its totient is φ = 324845568.

The previous prime is 1218263003. The next prime is 1218263041. The reversal of 1218263040 is 403628121.

1218263040 is a `hidden beast` number, since 1 + 21 + 8 + 2 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1218262995 and 1218263013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218263041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85551 + ... + 98769.

Almost surely, 2^1218263040 is an apocalyptic number.

1218263040 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 1218263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111300100).

1218263040 is an abundant number, since it is smaller than the sum of its proper divisors (3004337160).

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

1218263040 is a wasteful number, since it uses less digits than its factorization.

1218263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13252 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1218263040 is about 34903.6250266358. The cubic root of 1218263040 is about 1068.0223872764.

The spelling of 1218263040 in words is "one billion, two hundred eighteen million, two hundred sixty-three thousand, forty".