41934848400 has 135 divisors (see below), whose sum is σ = 145568223619. Its totient is φ = 11179349760.

The previous prime is 41934848393. The next prime is 41934848401. The reversal of 41934848400 is 484843914.

The square root of 41934848400 is 204780.

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

41934848400 is a `hidden beast` number, since 4 + 1 + 93 + 484 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6458372496 + 35476475904 = 80364^2 + 188352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41934848401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12285094 + ... + 12288506.

Almost surely, 2^41934848400 is an apocalyptic number.

41934848400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41934848400 is the 204780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41934848400

41934848400 is an abundant number, since it is smaller than the sum of its proper divisors (103633375219).

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

41934848400 is an equidigital number, since it uses as much as digits as its factorization.

41934848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 41934848400 in words is "forty-one billion, nine hundred thirty-four million, eight hundred forty-eight thousand, four hundred".