20067131261440 has 160 divisors (see below), whose sum is σ = 48666434256000. Its totient is φ = 7934747639808.

The previous prime is 20067131261417. The next prime is 20067131261509. The reversal of 20067131261440 is 4416213176002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 20067131261440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284781951 + ... + 1284797569.

It is an arithmetic number, because the mean of its divisors is an integer number (304165214100).

Almost surely, 2^{20067131261440} is an apocalyptic number.

20067131261440 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 20067131261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24333217128000).

20067131261440 is an abundant number, since it is smaller than the sum of its proper divisors (28599302994560).

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

20067131261440 is an equidigital number, since it uses as much as digits as its factorization.

20067131261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21370 (or 21354 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 20067131261440 in words is "twenty trillion, sixty-seven billion, one hundred thirty-one million, two hundred sixty-one thousand, four hundred forty".