41874876366400 has 945 divisors, whose sum is σ = 132540143993985. Its totient is φ = 12983574912000.

The previous prime is 41874876366371. The next prime is 41874876366437. The reversal of 41874876366400 is 466367847814.

It is a happy number.

The square root of 41874876366400 is 6471080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15074955491904 + 26799920874496 = 3882648^2 + 5176864^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 219240190305 + ... + 219240190495.

Almost surely, 2^{41874876366400} is an apocalyptic number.

41874876366400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41874876366400 is the 6471080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41874876366400

41874876366400 is an abundant number, since it is smaller than the sum of its proper divisors (90665267627585).

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

41874876366400 is an frugal number, since it uses more digits than its factorization.

41874876366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 64.

41874876366400 divided by its sum of digits (64) gives a square (654294943225 = 808885²).

The spelling of 41874876366400 in words is "forty-one trillion, eight hundred seventy-four billion, eight hundred seventy-six million, three hundred sixty-six thousand, four hundred".