13906279895040 has 1872 divisors, whose sum is σ = 56876744433600. Its totient is φ = 3235182280704.

The previous prime is 13906279894973. The next prime is 13906279895071. The reversal of 13906279895040 is 4059897260931.

13906279895040 is a `hidden beast` number, since 1 + 39 + 0 + 6 + 2 + 7 + 98 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33189211951 + ... + 33189212369.

It is an arithmetic number, because the mean of its divisors is an integer number (30382876300).

It is a 1-persistent number, because it is pandigital, but 2⋅13906279895040 = 27812559790080 is not.

Almost surely, 2^{13906279895040} is an apocalyptic number.

13906279895040 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 13906279895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28438372216800).

13906279895040 is an abundant number, since it is smaller than the sum of its proper divisors (42970464538560).

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

13906279895040 is an frugal number, since it uses more digits than its factorization.

13906279895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 13906279895040 in words is "thirteen trillion, nine hundred six billion, two hundred seventy-nine million, eight hundred ninety-five thousand, forty".