41551372800 has 1080 divisors, whose sum is σ = 183576789396. Its totient is φ = 8918138880.

The previous prime is 41551372763. The next prime is 41551372801. The reversal of 41551372800 is 827315514.

It can be written as a sum of positive squares in 6 ways, for example, as 12071856384 + 29479516416 = 109872^2 + 171696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41551372801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95961384 + ... + 95961816.

Almost surely, 2^41551372800 is an apocalyptic number.

41551372800 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 41551372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91788394698).

41551372800 is an abundant number, since it is smaller than the sum of its proper divisors (142025416596).

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

41551372800 is a wasteful number, since it uses less digits than its factorization.

41551372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 41551372800 in words is "forty-one billion, five hundred fifty-one million, three hundred seventy-two thousand, eight hundred".