1417720416 has 192 divisors, whose sum is σ = 4599544320. Its totient is φ = 373248000.

The previous prime is 1417720399. The next prime is 1417720429. The reversal of 1417720416 is 6140277141.

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, 470916 + ... + 473916.

It is an arithmetic number, because the mean of its divisors is an integer number (23955960).

Almost surely, 2^1417720416 is an apocalyptic number.

1417720416 is a gapful number since it is divisible by the number (16) 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 1417720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299772160).

1417720416 is an abundant number, since it is smaller than the sum of its proper divisors (3181823904).

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

1417720416 is a wasteful number, since it uses less digits than its factorization.

1417720416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1417720416 is about 37652.6282747964. The cubic root of 1417720416 is about 1123.3890796611.

Adding to 1417720416 its reverse (6140277141), we get a palindrome (7557997557).

The spelling of 1417720416 in words is "one billion, four hundred seventeen million, seven hundred twenty thousand, four hundred sixteen".