420133456464 has 120 divisors (see below), whose sum is σ = 1144709376768. Its totient is φ = 132642332160.

The previous prime is 420133456453. The next prime is 420133456481. The reversal of 420133456464 is 464654331024.

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 23 ways as a sum of consecutive naturals, for example, 3223084 + ... + 3350900.

Almost surely, 2^420133456464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420133456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572354688384).

420133456464 is an abundant number, since it is smaller than the sum of its proper divisors (724575920304).

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

420133456464 is a wasteful number, since it uses less digits than its factorization.

420133456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127953 (or 127900 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 420133456464 its reverse (464654331024), we get a palindrome (884787787488).

The spelling of 420133456464 in words is "four hundred twenty billion, one hundred thirty-three million, four hundred fifty-six thousand, four hundred sixty-four".