41225131002400 has 144 divisors (see below), whose sum is σ = 102989394756864. Its totient is φ = 16105302420480.

The previous prime is 41225131002359. The next prime is 41225131002403. The reversal of 41225131002400 is 420013152214.

It is a super-2 number, since 2×41225131002400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41225131002403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525007942 + ... + 525086458.

It is an arithmetic number, because the mean of its divisors is an integer number (715204130256).

Almost surely, 2^{41225131002400} is an apocalyptic number.

41225131002400 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 41225131002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51494697378432).

41225131002400 is an abundant number, since it is smaller than the sum of its proper divisors (61764263754464).

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

41225131002400 is a wasteful number, since it uses less digits than its factorization.

41225131002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93843 (or 93830 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 41225131002400 its reverse (420013152214), we get a palindrome (41645144154614).

The spelling of 41225131002400 in words is "forty-one trillion, two hundred twenty-five billion, one hundred thirty-one million, two thousand, four hundred".