14797490400 has 1728 divisors, whose sum is σ = 71815403520. Its totient is φ = 2903040000.

The previous prime is 14797490371. The next prime is 14797490413. The reversal of 14797490400 is 409479741.

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 287 ways as a sum of consecutive naturals, for example, 360914380 + ... + 360914420.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^14797490400 is an apocalyptic number.

14797490400 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 14797490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35907701760).

14797490400 is an abundant number, since it is smaller than the sum of its proper divisors (57017913120).

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

14797490400 is a wasteful number, since it uses less digits than its factorization.

14797490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14797490400 in words is "fourteen billion, seven hundred ninety-seven million, four hundred ninety thousand, four hundred".