4345460466400 has 72 divisors (see below), whose sum is σ = 11166689895480. Its totient is φ = 1646700802560.

The previous prime is 4345460466397. The next prime is 4345460466409. The reversal of 4345460466400 is 46640645434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4345460466409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142927579 + ... + 142957978.

It is an arithmetic number, because the mean of its divisors is an integer number (155092915215).

Almost surely, 2^{4345460466400} is an apocalyptic number.

4345460466400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4345460466400 is an abundant number, since it is smaller than the sum of its proper divisors (6821229429080).

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

4345460466400 is a wasteful number, since it uses less digits than its factorization.

4345460466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285885596 (or 285885583 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 46.

The spelling of 4345460466400 in words is "four trillion, three hundred forty-five billion, four hundred sixty million, four hundred sixty-six thousand, four hundred".