1417201920 has 180 divisors, whose sum is σ = 5071378620. Its totient is φ = 377892864.

The previous prime is 1417201897. The next prime is 1417201931. The reversal of 1417201920 is 291027141.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 620607744 = 28224^2 + 24912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1417201920² = 4016922564103372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96846 + ... + 110514.

Almost surely, 2^1417201920 is an apocalyptic number.

1417201920 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 1417201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535689310).

1417201920 is an abundant number, since it is smaller than the sum of its proper divisors (3654176700).

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

1417201920 is an equidigital number, since it uses as much as digits as its factorization.

1417201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702 (or 13679 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1417201920 is about 37645.7423887483. The cubic root of 1417201920 is about 1123.2521124189.

The spelling of 1417201920 in words is "one billion, four hundred seventeen million, two hundred one thousand, nine hundred twenty".