1417669344 has 576 divisors, whose sum is σ = 5460134400. Its totient is φ = 349360128.

The previous prime is 1417669313. The next prime is 1417669367. The reversal of 1417669344 is 4439667141.

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

Its product of digits (435456) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1417669344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19420092 + ... + 19420164.

It is an arithmetic number, because the mean of its divisors is an integer number (9479400).

Almost surely, 2^1417669344 is an apocalyptic number.

1417669344 is a gapful number since it is divisible by the number (14) 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 1417669344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730067200).

1417669344 is an abundant number, since it is smaller than the sum of its proper divisors (4042465056).

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

1417669344 is a wasteful number, since it uses less digits than its factorization.

1417669344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1417669344 is about 37651.9500690203. The cubic root of 1417669344 is about 1123.3755898326.

It can be divided in two parts, 1417 and 669344, that added together give a square (670761 = 819²).

The spelling of 1417669344 in words is "one billion, four hundred seventeen million, six hundred sixty-nine thousand, three hundred forty-four".