20462142824640 has 672 divisors, whose sum is σ = 80853120691200. Its totient is φ = 4701295779840.

The previous prime is 20462142824569. The next prime is 20462142824647. The reversal of 20462142824640 is 4642824126402.

20462142824640 is a `hidden beast` number, since 2 + 0 + 46 + 2 + 142 + 8 + 2 + 464 + 0 = 666.

It is a super-2 number, since 2×20462142824640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20462142824647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79292941 + ... + 79550579.

Almost surely, 2^{20462142824640} is an apocalyptic number.

20462142824640 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 20462142824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40426560345600).

20462142824640 is an abundant number, since it is smaller than the sum of its proper divisors (60390977866560).

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

20462142824640 is a wasteful number, since it uses less digits than its factorization.

20462142824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257805 (or 257792 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 20462142824640 in words is "twenty trillion, four hundred sixty-two billion, one hundred forty-two million, eight hundred twenty-four thousand, six hundred forty".