14121747640260 has 1152 divisors, whose sum is σ = 50728215605760. Its totient is φ = 3280290048000.

The previous prime is 14121747640241. The next prime is 14121747640277. The reversal of 14121747640260 is 6204674712141.

14121747640260 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 174 + 76 + 402 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23497083960 + ... + 23497084560.

It is an arithmetic number, because the mean of its divisors is an integer number (44034909380).

Almost surely, 2^{14121747640260} is an apocalyptic number.

14121747640260 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 14121747640260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364107802880).

14121747640260 is an abundant number, since it is smaller than the sum of its proper divisors (36606467965500).

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

14121747640260 is a wasteful number, since it uses less digits than its factorization.

14121747640260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 14121747640260 in words is "fourteen trillion, one hundred twenty-one billion, seven hundred forty-seven million, six hundred forty thousand, two hundred sixty".