14107741655040 has 468 divisors, whose sum is σ = 53750625464172. Its totient is φ = 3420053176320.

The previous prime is 14107741655003. The next prime is 14107741655087. The reversal of 14107741655040 is 4055614770141.

14107741655040 is a `hidden beast` number, since 1 + 4 + 10 + 7 + 7 + 41 + 6 + 550 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6253040369664 + 7854701285376 = 2500608^2 + 2802624^2 .

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 35 ways as a sum of consecutive naturals, for example, 21986442 + ... + 22618998.

Almost surely, 2^{14107741655040} is an apocalyptic number.

14107741655040 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 14107741655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26875312732086).

14107741655040 is an abundant number, since it is smaller than the sum of its proper divisors (39642883809132).

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

14107741655040 is a wasteful number, since it uses less digits than its factorization.

14107741655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632614 (or 632578 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 14107741655040 in words is "fourteen trillion, one hundred seven billion, seven hundred forty-one million, six hundred fifty-five thousand, forty".