14233157640 has 384 divisors, whose sum is σ = 53346384000. Its totient is φ = 3261689856.

The previous prime is 14233157599. The next prime is 14233157671. The reversal of 14233157640 is 4675133241.

14233157640 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 1 + 5 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14233157595 and 14233157604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5244924 + ... + 5247636.

It is an arithmetic number, because the mean of its divisors is an integer number (138922875).

Almost surely, 2^14233157640 is an apocalyptic number.

14233157640 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 14233157640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673192000).

14233157640 is an abundant number, since it is smaller than the sum of its proper divisors (39113226360).

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

14233157640 is a wasteful number, since it uses less digits than its factorization.

14233157640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 14233157640 in words is "fourteen billion, two hundred thirty-three million, one hundred fifty-seven thousand, six hundred forty".