14146870064040 has 1152 divisors, whose sum is σ = 56712988200960. Its totient is φ = 3161243344896.

The previous prime is 14146870064017. The next prime is 14146870064057. The reversal of 14146870064040 is 4046007864141.

14146870064040 is a `hidden beast` number, since 1 + 41 + 468 + 70 + 0 + 6 + 40 + 40 = 666.

It is a super-2 number, since 2×14146870064040² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8506836249 + ... + 8506837911.

It is an arithmetic number, because the mean of its divisors is an integer number (49230024480).

Almost surely, 2^{14146870064040} is an apocalyptic number.

14146870064040 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 14146870064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28356494100480).

14146870064040 is an abundant number, since it is smaller than the sum of its proper divisors (42566118136920).

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

14146870064040 is a wasteful number, since it uses less digits than its factorization.

14146870064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14146870064040 in words is "fourteen trillion, one hundred forty-six billion, eight hundred seventy million, sixty-four thousand, forty".