20132742420 has 144 divisors (see below), whose sum is σ = 70256379648. Its totient is φ = 4571251200.

The previous prime is 20132742419. The next prime is 20132742527. The reversal of 20132742420 is 2424723102.

20132742420 is a `hidden beast` number, since 201 + 32 + 7 + 4 + 2 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137352 + ... + 243168.

Almost surely, 2^20132742420 is an apocalyptic number.

20132742420 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 20132742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35128189824).

20132742420 is an abundant number, since it is smaller than the sum of its proper divisors (50123637228).

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

20132742420 is a wasteful number, since it uses less digits than its factorization.

20132742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105990 (or 105985 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20132742420 in words is "twenty billion, one hundred thirty-two million, seven hundred forty-two thousand, four hundred twenty".