1417117128 has 128 divisors (see below), whose sum is σ = 4295808000. Its totient is φ = 380540160.

The previous prime is 1417117111. The next prime is 1417117129. The reversal of 1417117128 is 8217117141.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1417117129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416458 + ... + 419846.

It is an arithmetic number, because the mean of its divisors is an integer number (33561000).

Almost surely, 2^1417117128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1417117128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147904000).

1417117128 is an abundant number, since it is smaller than the sum of its proper divisors (2878690872).

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

1417117128 is a wasteful number, since it uses less digits than its factorization.

1417117128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3551 counting only the distinct ones).

The product of its digits is 3136, while the sum is 33.

The square root of 1417117128 is about 37644.6161887726. The cubic root of 1417117128 is about 1123.2297103670.

The spelling of 1417117128 in words is "one billion, four hundred seventeen million, one hundred seventeen thousand, one hundred twenty-eight".