420133313304144 has 120 divisors (see below), whose sum is σ = 1306881241559712. Its totient is φ = 124910990780160.

The previous prime is 420133313304143. The next prime is 420133313304157. The reversal of 420133313304144 is 441403313331024.

420133313304144 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 3 + 331 + 3 + 304 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420133313304099 and 420133313304108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420133313304143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502139422 + ... + 2502307325.

Almost surely, 2^{420133313304144} is an apocalyptic number.

420133313304144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420133313304144 is an abundant number, since it is smaller than the sum of its proper divisors (886747928255568).

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

420133313304144 is a wasteful number, since it uses less digits than its factorization.

420133313304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004446825 (or 5004446816 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 420133313304144 its reverse (441403313331024), we get a palindrome (861536626635168).

The spelling of 420133313304144 in words is "four hundred twenty trillion, one hundred thirty-three billion, three hundred thirteen million, three hundred four thousand, one hundred forty-four".