1217144040 has 256 divisors, whose sum is σ = 4354560000. Its totient is φ = 266373120.

The previous prime is 1217144023. The next prime is 1217144059. The reversal of 1217144040 is 404417121.

It is a super-2 number, since 2×1217144040² = 2962879228215043200, which contains 22 as substring.

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 1217144040.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2031661 + ... + 2032259.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2^1217144040 is an apocalyptic number.

1217144040 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 1217144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280000).

1217144040 is an abundant number, since it is smaller than the sum of its proper divisors (3137415960).

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

1217144040 is a wasteful number, since it uses less digits than its factorization.

1217144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1217144040 is about 34887.5914903852. The cubic root of 1217144040 is about 1067.6952868303.

The spelling of 1217144040 in words is "one billion, two hundred seventeen million, one hundred forty-four thousand, forty".