455433632640 has 384 divisors, whose sum is σ = 1863908766720. Its totient is φ = 104098867200.

The previous prime is 455433632617. The next prime is 455433632651. The reversal of 455433632640 is 46236334554.

455433632640 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 3 + 3 + 632 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879465 + ... + 1297815.

It is an arithmetic number, because the mean of its divisors is an integer number (4853929080).

Almost surely, 2^455433632640 is an apocalyptic number.

455433632640 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 455433632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931954383360).

455433632640 is an abundant number, since it is smaller than the sum of its proper divisors (1408475134080).

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

455433632640 is an equidigital number, since it uses as much as digits as its factorization.

455433632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418392 (or 418368 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 455433632640 in words is "four hundred fifty-five billion, four hundred thirty-three million, six hundred thirty-two thousand, six hundred forty".