464143530240 has 864 divisors, whose sum is σ = 1817422763520. Its totient is φ = 112726867968.

The previous prime is 464143530211. The next prime is 464143530287. The reversal of 464143530240 is 42035341464.

464143530240 is a `hidden beast` number, since 4 + 6 + 41 + 43 + 530 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 464143530195 and 464143530204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319437354 + ... + 319438806.

Almost surely, 2^464143530240 is an apocalyptic number.

464143530240 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 464143530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908711381760).

464143530240 is an abundant number, since it is smaller than the sum of its proper divisors (1353279233280).

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

464143530240 is a wasteful number, since it uses less digits than its factorization.

464143530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 464143530240 in words is "four hundred sixty-four billion, one hundred forty-three million, five hundred thirty thousand, two hundred forty".