14488265400 has 384 divisors, whose sum is σ = 53329920000. Its totient is φ = 3184012800.

The previous prime is 14488265399. The next prime is 14488265437. The reversal of 14488265400 is 456288441.

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 95 ways as a sum of consecutive naturals, for example, 29034351 + ... + 29034849.

It is an arithmetic number, because the mean of its divisors is an integer number (138880000).

Almost surely, 2^14488265400 is an apocalyptic number.

14488265400 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 14488265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26664960000).

14488265400 is an abundant number, since it is smaller than the sum of its proper divisors (38841654600).

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

14488265400 is a wasteful number, since it uses less digits than its factorization.

14488265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 14488265400 in words is "fourteen billion, four hundred eighty-eight million, two hundred sixty-five thousand, four hundred".