4514145002400 has 144 divisors (see below), whose sum is σ = 16029318620448. Its totient is φ = 1094338176000.

The previous prime is 4514145002359. The next prime is 4514145002443. The reversal of 4514145002400 is 42005414154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85468771 + ... + 85521570.

It is an arithmetic number, because the mean of its divisors is an integer number (111314712642).

Almost surely, 2^{4514145002400} is an apocalyptic number.

4514145002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4514145002400 is an abundant number, since it is smaller than the sum of its proper divisors (11515173618048).

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

4514145002400 is a wasteful number, since it uses less digits than its factorization.

4514145002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170990375 (or 170990362 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 4514145002400 in words is "four trillion, five hundred fourteen billion, one hundred forty-five million, two thousand, four hundred".