1417344672 has 192 divisors, whose sum is σ = 4247147520. Its totient is φ = 411070464.

The previous prime is 1417344667. The next prime is 1417344673. The reversal of 1417344672 is 2764437141.

It is a self number, because there is not a number n which added to its sum of digits gives 1417344672.

It is not an unprimeable number, because it can be changed into a prime (1417344673) 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, 1332813 + ... + 1333875.

It is an arithmetic number, because the mean of its divisors is an integer number (22120560).

Almost surely, 2^1417344672 is an apocalyptic number.

1417344672 is a gapful number since it is divisible by the number (12) 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 1417344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123573760).

1417344672 is an abundant number, since it is smaller than the sum of its proper divisors (2829802848).

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

1417344672 is a wasteful number, since it uses less digits than its factorization.

1417344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 1417344672 is about 37647.6383323045. The cubic root of 1417344672 is about 1123.2898254880.

The spelling of 1417344672 in words is "one billion, four hundred seventeen million, three hundred forty-four thousand, six hundred seventy-two".