4468145383400 has 48 divisors (see below), whose sum is σ = 10388585132640. Its totient is φ = 1787232843200.

The previous prime is 4468145383399. The next prime is 4468145383451. The reversal of 4468145383400 is 43835418644.

It is a super-3 number, since 3×4468145383400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21173207 + ... + 21383193.

It is an arithmetic number, because the mean of its divisors is an integer number (216428856930).

Almost surely, 2^{4468145383400} is an apocalyptic number.

4468145383400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4468145383400 is an abundant number, since it is smaller than the sum of its proper divisors (5920439749240).

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

4468145383400 is a wasteful number, since it uses less digits than its factorization.

4468145383400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316394 (or 316385 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 4468145383400 in words is "four trillion, four hundred sixty-eight billion, one hundred forty-five million, three hundred eighty-three thousand, four hundred".