41025032000 has 112 divisors (see below), whose sum is σ = 101906667408. Its totient is φ = 16360243200.

The previous prime is 41025031979. The next prime is 41025032003. The reversal of 41025032000 is 23052014.

It can be written as a sum of positive squares in 8 ways, for example, as 10425226816 + 30599805184 = 102104^2 + 174928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41025032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41025032003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688392 + ... + 2703608.

It is an arithmetic number, because the mean of its divisors is an integer number (909880959).

Almost surely, 2^41025032000 is an apocalyptic number.

41025032000 is a gapful number since it is divisible by the number (40) 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 41025032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50953333704).

41025032000 is an abundant number, since it is smaller than the sum of its proper divisors (60881635408).

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

41025032000 is a wasteful number, since it uses less digits than its factorization.

41025032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15561 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 41025032000 its reverse (23052014), we get a palindrome (41048084014).

The spelling of 41025032000 in words is "forty-one billion, twenty-five million, thirty-two thousand".