1412160629760 has 264 divisors, whose sum is σ = 4896217924416. Its totient is φ = 376336220160.

The previous prime is 1412160629687. The next prime is 1412160629767. The reversal of 1412160629760 is 679260612141.

1412160629760 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 16 + 0 + 629 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1412160629767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79294777 + ... + 79312583.

Almost surely, 2^{1412160629760} is an apocalyptic number.

1412160629760 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 1412160629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448108962208).

1412160629760 is an abundant number, since it is smaller than the sum of its proper divisors (3484057294656).

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

1412160629760 is a wasteful number, since it uses less digits than its factorization.

1412160629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19559 (or 19538 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1412160629760 in words is "one trillion, four hundred twelve billion, one hundred sixty million, six hundred twenty-nine thousand, seven hundred sixty".