41824934528400 has 2025 divisors, whose sum is σ = 166425290404659. Its totient is φ = 10057820544000.

The previous prime is 41824934528303. The next prime is 41824934528407. The reversal of 41824934528400 is 482543942814.

The square root of 41824934528400 is 6467220.

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

41824934528400 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 49 + 34 + 528 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19265322435984 + 22559612092416 = 4389228^2 + 4749696^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41824934528407) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 685654664370 + ... + 685654664430.

Almost surely, 2^{41824934528400} is an apocalyptic number.

41824934528400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41824934528400 is the 6467220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41824934528400

41824934528400 is an abundant number, since it is smaller than the sum of its proper divisors (124600355876259).

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

41824934528400 is a wasteful number, since it uses less digits than its factorization.

41824934528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 41824934528400 in words is "forty-one trillion, eight hundred twenty-four billion, nine hundred thirty-four million, five hundred twenty-eight thousand, four hundred".