41367542400 has 768 divisors, whose sum is σ = 160548652800. Its totient is φ = 10510663680.

The previous prime is 41367542393. The next prime is 41367542401. The reversal of 41367542400 is 424576314.

41367542400 is a `hidden beast` number, since 4 + 1 + 367 + 54 + 240 + 0 = 666.

It is a super-2 number, since 2×41367542400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41367542401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160963072 + ... + 160963328.

It is an arithmetic number, because the mean of its divisors is an integer number (209047725).

Almost surely, 2^41367542400 is an apocalyptic number.

41367542400 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 41367542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80274326400).

41367542400 is an abundant number, since it is smaller than the sum of its proper divisors (119181110400).

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

41367542400 is an equidigital number, since it uses as much as digits as its factorization.

41367542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 41367542400 in words is "forty-one billion, three hundred sixty-seven million, five hundred forty-two thousand, four hundred".