1217117440 has 288 divisors, whose sum is σ = 3719229696. Its totient is φ = 370606080.

The previous prime is 1217117423. The next prime is 1217117467. The reversal of 1217117440 is 447117121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1217117399 and 1217117408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5223564 + ... + 5223796.

It is an arithmetic number, because the mean of its divisors is an integer number (12913992).

Almost surely, 2^1217117440 is an apocalyptic number.

1217117440 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 1217117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859614848).

1217117440 is an abundant number, since it is smaller than the sum of its proper divisors (2502112256).

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

1217117440 is a wasteful number, since it uses less digits than its factorization.

1217117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 1217117440 is about 34887.2102639348. The cubic root of 1217117440 is about 1067.6875088132.

The spelling of 1217117440 in words is "one billion, two hundred seventeen million, one hundred seventeen thousand, four hundred forty".