1417753628160 has 320 divisors, whose sum is σ = 4616357391360. Its totient is φ = 371109724160.

The previous prime is 1417753628143. The next prime is 1417753628167. The reversal of 1417753628160 is 618263577141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417753628167) 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, 127044661 + ... + 127055819.

It is an arithmetic number, because the mean of its divisors is an integer number (14426116848).

Almost surely, 2^{1417753628160} is an apocalyptic number.

1417753628160 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 1417753628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308178695680).

1417753628160 is an abundant number, since it is smaller than the sum of its proper divisors (3198603763200).

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

1417753628160 is a wasteful number, since it uses less digits than its factorization.

1417753628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11473 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 1417753628160 in words is "one trillion, four hundred seventeen billion, seven hundred fifty-three million, six hundred twenty-eight thousand, one hundred sixty".