41153554152400 has 120 divisors (see below), whose sum is σ = 99154053387200. Its totient is φ = 16414383283200.

The previous prime is 41153554152331. The next prime is 41153554152401. The reversal of 41153554152400 is 425145535114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41153554152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753273085 + ... + 753327715.

Almost surely, 2^{41153554152400} is an apocalyptic number.

41153554152400 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 41153554152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49577026693600).

41153554152400 is an abundant number, since it is smaller than the sum of its proper divisors (58000499234800).

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

41153554152400 is a wasteful number, since it uses less digits than its factorization.

41153554152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59997 (or 59986 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 41153554152400 its reverse (425145535114), we get a palindrome (41578699687514).

The spelling of 41153554152400 in words is "forty-one trillion, one hundred fifty-three billion, five hundred fifty-four million, one hundred fifty-two thousand, four hundred".