20132042401760 has 192 divisors, whose sum is σ = 50371250872320. Its totient is φ = 7582419947520.

The previous prime is 20132042401739. The next prime is 20132042401771. The reversal of 20132042401760 is 6710424023102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692688989 + ... + 692718051.

It is an arithmetic number, because the mean of its divisors is an integer number (262350264960).

Almost surely, 2^{20132042401760} is an apocalyptic number.

20132042401760 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 20132042401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185625436160).

20132042401760 is an abundant number, since it is smaller than the sum of its proper divisors (30239208470560).

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

20132042401760 is a wasteful number, since it uses less digits than its factorization.

20132042401760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30481 (or 30473 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 20132042401760 its reverse (6710424023102), we get a palindrome (26842466424862).

The spelling of 20132042401760 in words is "twenty trillion, one hundred thirty-two billion, forty-two million, four hundred one thousand, seven hundred sixty".