14133164669040 has 160 divisors (see below), whose sum is σ = 44015954423616. Its totient is φ = 3751407616000.

The previous prime is 14133164669027. The next prime is 14133164669087. The reversal of 14133164669040 is 4096646133141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47039290 + ... + 47338790.

Almost surely, 2^{14133164669040} is an apocalyptic number.

14133164669040 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 14133164669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22007977211808).

14133164669040 is an abundant number, since it is smaller than the sum of its proper divisors (29882789754576).

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

14133164669040 is a wasteful number, since it uses less digits than its factorization.

14133164669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300427 (or 300421 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 14133164669040 in words is "fourteen trillion, one hundred thirty-three billion, one hundred sixty-four million, six hundred sixty-nine thousand, forty".