1216631040 has 144 divisors (see below), whose sum is σ = 3991098048. Its totient is φ = 315629568.

The previous prime is 1216631029. The next prime is 1216631063. The reversal of 1216631040 is 401366121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1216631040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137799 + ... + 146361.

Almost surely, 2^1216631040 is an apocalyptic number.

1216631040 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 1216631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995549024).

1216631040 is an abundant number, since it is smaller than the sum of its proper divisors (2774467008).

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

1216631040 is an equidigital number, since it uses as much as digits as its factorization.

1216631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1216631040 is about 34880.2385312945. The cubic root of 1216631040 is about 1067.5452622279.

Adding to 1216631040 its reverse (401366121), we get a palindrome (1617997161).

The spelling of 1216631040 in words is "one billion, two hundred sixteen million, six hundred thirty-one thousand, forty".