14675440920 has 256 divisors, whose sum is σ = 52110950400. Its totient is φ = 3235438080.

The previous prime is 14675440919. The next prime is 14675440963. The reversal of 14675440920 is 2904457641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9868417 + ... + 9869903.

It is an arithmetic number, because the mean of its divisors is an integer number (203558400).

Almost surely, 2^14675440920 is an apocalyptic number.

14675440920 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 14675440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26055475200).

14675440920 is an abundant number, since it is smaller than the sum of its proper divisors (37435509480).

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

14675440920 is a wasteful number, since it uses less digits than its factorization.

14675440920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 14675440920 in words is "fourteen billion, six hundred seventy-five million, four hundred forty thousand, nine hundred twenty".