1417968640 has 176 divisors, whose sum is σ = 3931615584. Its totient is φ = 484966400.

The previous prime is 1417968631. The next prime is 1417968647. The reversal of 1417968640 is 468697141.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417968647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956700 + ... + 958180.

Almost surely, 2^1417968640 is an apocalyptic number.

1417968640 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 1417968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965807792).

1417968640 is an abundant number, since it is smaller than the sum of its proper divisors (2513646944).

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

1417968640 is a wasteful number, since it uses less digits than its factorization.

1417968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 1417968640 is about 37655.9243678867. The cubic root of 1417968640 is about 1123.4546393335.

The spelling of 1417968640 in words is "one billion, four hundred seventeen million, nine hundred sixty-eight thousand, six hundred forty".