1412417664 has 192 divisors, whose sum is σ = 4918717440. Its totient is φ = 379772928.

The previous prime is 1412417659. The next prime is 1412417693. The reversal of 1412417664 is 4667142141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131937 + ... + 142239.

It is an arithmetic number, because the mean of its divisors is an integer number (25618320).

Almost surely, 2^1412417664 is an apocalyptic number.

1412417664 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 1412417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459358720).

1412417664 is an abundant number, since it is smaller than the sum of its proper divisors (3506299776).

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

1412417664 is a wasteful number, since it uses less digits than its factorization.

1412417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10332 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1412417664 is about 37582.1455481190. The cubic root of 1412417664 is about 1121.9867118828.

The spelling of 1412417664 in words is "one billion, four hundred twelve million, four hundred seventeen thousand, six hundred sixty-four".