14136409674240 has 640 divisors, whose sum is σ = 54566438952960. Its totient is φ = 3053365690368.

The previous prime is 14136409674227. The next prime is 14136409674241. The reversal of 14136409674240 is 4247690463141.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (14136409674241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73178419 + ... + 73371341.

It is an arithmetic number, because the mean of its divisors is an integer number (85260060864).

Almost surely, 2^{14136409674240} is an apocalyptic number.

14136409674240 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 14136409674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283219476480).

14136409674240 is an abundant number, since it is smaller than the sum of its proper divisors (40430029278720).

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

14136409674240 is a wasteful number, since it uses less digits than its factorization.

14136409674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193032 (or 193016 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 14136409674240 in words is "fourteen trillion, one hundred thirty-six billion, four hundred nine million, six hundred seventy-four thousand, two hundred forty".