41282112400 has 45 divisors (see below), whose sum is σ = 99190038801. Its totient is φ = 16511219520.

The previous prime is 41282112353. The next prime is 41282112407. The reversal of 41282112400 is 421128214.

The square root of 41282112400 is 203180.

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., 14861560464 + 26420551936 = 121908^2 + 162544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41282112407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4058521 + ... + 4068679.

Almost surely, 2^41282112400 is an apocalyptic number.

41282112400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41282112400 is the 203180-th square number.

It is an amenable number.

41282112400 is an abundant number, since it is smaller than the sum of its proper divisors (57907926401).

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

41282112400 is an frugal number, since it uses more digits than its factorization.

41282112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20336 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Multiplying 41282112400 by its sum of digits (25), we get a square (1032052810000 = 1015900²).

41282112400 divided by its sum of digits (25) gives a square (1651284496 = 40636²).

Multiplying 41282112400 by its product of nonzero digits (1024), we get a square (42272883097600 = 6501760²).

The spelling of 41282112400 in words is "forty-one billion, two hundred eighty-two million, one hundred twelve thousand, four hundred".