143630807040 has 1872 divisors, whose sum is σ = 652595973120. Its totient is φ = 30098718720.

The previous prime is 143630807039. The next prime is 143630807129. The reversal of 143630807040 is 40708036341.

143630807040 is a `hidden beast` number, since 14 + 3 + 630 + 8 + 0 + 7 + 0 + 4 + 0 = 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 = 143630806986 and 143630807004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4633251825 + ... + 4633251855.

It is an arithmetic number, because the mean of its divisors is an integer number (348608960).

Almost surely, 2^143630807040 is an apocalyptic number.

143630807040 is a gapful number since it is divisible by the number (10) 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 143630807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326297986560).

143630807040 is an abundant number, since it is smaller than the sum of its proper divisors (508965166080).

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

143630807040 is an equidigital number, since it uses as much as digits as its factorization.

143630807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 143630807040 in words is "one hundred forty-three billion, six hundred thirty million, eight hundred seven thousand, forty".