41002131400 has 192 divisors, whose sum is σ = 102225600000. Its totient is φ = 15260313600.

The previous prime is 41002131367. The next prime is 41002131407. The reversal of 41002131400 is 413120014.

It is not an unprimeable number, because it can be changed into a prime (41002131407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82168351 + ... + 82168849.

It is an arithmetic number, because the mean of its divisors is an integer number (532425000).

Almost surely, 2^41002131400 is an apocalyptic number.

41002131400 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 41002131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51112800000).

41002131400 is an abundant number, since it is smaller than the sum of its proper divisors (61223468600).

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

41002131400 is a wasteful number, since it uses less digits than its factorization.

41002131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41002131400 its reverse (413120014), we get a palindrome (41415251414).

The spelling of 41002131400 in words is "forty-one billion, two million, one hundred thirty-one thousand, four hundred".