46431141120 has 648 divisors, whose sum is σ = 198863997696. Its totient is φ = 9793585152.

The previous prime is 46431141103. The next prime is 46431141139. The reversal of 46431141120 is 2114113464.

46431141120 is a `hidden beast` number, since 4 + 643 + 1 + 1 + 4 + 1 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13626457 + ... + 13629863.

Almost surely, 2^46431141120 is an apocalyptic number.

46431141120 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 46431141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99431998848).

46431141120 is an abundant number, since it is smaller than the sum of its proper divisors (152432856576).

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

46431141120 is a wasteful number, since it uses less digits than its factorization.

46431141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 46431141120 its reverse (2114113464), we get a palindrome (48545254584).

The spelling of 46431141120 in words is "forty-six billion, four hundred thirty-one million, one hundred forty-one thousand, one hundred twenty".