14270469840 has 800 divisors, whose sum is σ = 58530003840. Its totient is φ = 3185049600.

The previous prime is 14270469809. The next prime is 14270469883. The reversal of 14270469840 is 4896407241.

14270469840 is a `hidden beast` number, since 1 + 42 + 70 + 469 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55526992 + ... + 55527248.

Almost surely, 2^14270469840 is an apocalyptic number.

14270469840 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 14270469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265001920).

14270469840 is an abundant number, since it is smaller than the sum of its proper divisors (44259534000).

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

14270469840 is a wasteful number, since it uses less digits than its factorization.

14270469840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14270469840 in words is "fourteen billion, two hundred seventy million, four hundred sixty-nine thousand, eight hundred forty".