4521465446400 has 3072 divisors, whose sum is σ = 21063473280000. Its totient is φ = 927486443520.

The previous prime is 4521465446369. The next prime is 4521465446401. The reversal of 4521465446400 is 46445641254.

4521465446400 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 46 + 544 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4521465446401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85310668774 + ... + 85310668826.

It is an arithmetic number, because the mean of its divisors is an integer number (6856599375).

Almost surely, 2^{4521465446400} is an apocalyptic number.

4521465446400 is a gapful number since it is divisible by the number (40) 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 4521465446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531736640000).

4521465446400 is an abundant number, since it is smaller than the sum of its proper divisors (16542007833600).

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

4521465446400 is a wasteful number, since it uses less digits than its factorization.

4521465446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 4521465446400 in words is "four trillion, five hundred twenty-one billion, four hundred sixty-five million, four hundred forty-six thousand, four hundred".