41430000400 has 60 divisors (see below), whose sum is σ = 99609391332. Its totient is φ = 16559710720.

The previous prime is 41430000361. The next prime is 41430000401. The reversal of 41430000400 is 400003414.

It can be written as a sum of positive squares in 6 ways, for example, as 10238201856 + 31191798544 = 101184^2 + 176612^2 .

It is a super-3 number, since 3×41430000400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41430000401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511482 + ... + 586918.

Almost surely, 2^41430000400 is an apocalyptic number.

41430000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41430000400 is an abundant number, since it is smaller than the sum of its proper divisors (58179390932).

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

41430000400 is a wasteful number, since it uses less digits than its factorization.

41430000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76828 (or 76817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 41430000400 its reverse (400003414), we get a palindrome (41830003814).

The spelling of 41430000400 in words is "forty-one billion, four hundred thirty million, four hundred", and thus it is an aban number.