20132418540 has 192 divisors, whose sum is σ = 63801593856. Its totient is φ = 4709311488.

The previous prime is 20132418533. The next prime is 20132418571. The reversal of 20132418540 is 4581423102.

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 = 20132418498 and 20132418507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232869 + ... + 1249091.

It is an arithmetic number, because the mean of its divisors is an integer number (332299968).

Almost surely, 2^20132418540 is an apocalyptic number.

20132418540 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 20132418540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31900796928).

20132418540 is an abundant number, since it is smaller than the sum of its proper divisors (43669175316).

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

20132418540 is a wasteful number, since it uses less digits than its factorization.

20132418540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16328 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 20132418540 in words is "twenty billion, one hundred thirty-two million, four hundred eighteen thousand, five hundred forty".