32041000400000 has 192 divisors, whose sum is σ = 79803051105960. Its totient is φ = 12813419520000.

The previous prime is 32041000399879. The next prime is 32041000400047. The reversal of 32041000400000 is 400014023.

It can be written as a sum of positive squares in 12 ways, for example, as 39894469696 + 32001105930304 = 199736^2 + 5656952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2693194052 + ... + 2693205948.

Almost surely, 2^{32041000400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32041000400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39901525552980).

32041000400000 is an abundant number, since it is smaller than the sum of its proper divisors (47762050705960).

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

32041000400000 is an frugal number, since it uses more digits than its factorization.

32041000400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18669 (or 18637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32041000400000 its reverse (400014023), we get a palindrome (32041400414023).

It can be divided in two parts, 32041000 and 400000, that multiplied together give a square (12816400000000 = 3580000²).

The spelling of 32041000400000 in words is "thirty-two trillion, forty-one billion, four hundred thousand".