41252135454400 has 336 divisors, whose sum is σ = 115886234368800. Its totient is φ = 14318021836800.

The previous prime is 41252135454301. The next prime is 41252135454401. The reversal of 41252135454400 is 445453125214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41252135454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290234551 + ... + 290376649.

It is an arithmetic number, because the mean of its divisors is an integer number (344899507050).

Almost surely, 2^{41252135454400} is an apocalyptic number.

41252135454400 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 41252135454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57943117184400).

41252135454400 is an abundant number, since it is smaller than the sum of its proper divisors (74634098914400).

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

41252135454400 is a wasteful number, since it uses less digits than its factorization.

41252135454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142972 (or 142957 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 41252135454400 its reverse (445453125214), we get a palindrome (41697588579614).

The spelling of 41252135454400 in words is "forty-one trillion, two hundred fifty-two billion, one hundred thirty-five million, four hundred fifty-four thousand, four hundred".