20430359040 has 1280 divisors, whose sum is σ = 88698322944. Its totient is φ = 3892838400.

The previous prime is 20430359039. The next prime is 20430359057. The reversal of 20430359040 is 4095303402.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×20430359040³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20430358989 and 20430359007.

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 127 ways as a sum of consecutive naturals, for example, 498301420 + ... + 498301460.

Almost surely, 2^20430359040 is an apocalyptic number.

20430359040 is a gapful number since it is divisible by the number (20) 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 20430359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44349161472).

20430359040 is an abundant number, since it is smaller than the sum of its proper divisors (68267963904).

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

20430359040 is a wasteful number, since it uses less digits than its factorization.

20430359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 20430359040 in words is "twenty billion, four hundred thirty million, three hundred fifty-nine thousand, forty".