42400440002000 has 80 divisors (see below), whose sum is σ = 106059583515600. Its totient is φ = 16375342323200.

The previous prime is 42400440001981. The next prime is 42400440002033. The reversal of 42400440002000 is 20004400424.

It can be written as a sum of positive squares in 8 ways, for example, as 28195802640784 + 14204637361216 = 5309972^2 + 3768904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365463035 + ... + 365579034.

It is an arithmetic number, because the mean of its divisors is an integer number (1325744793945).

Almost surely, 2^{42400440002000} is an apocalyptic number.

42400440002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42400440002000 is an abundant number, since it is smaller than the sum of its proper divisors (63659143513600).

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

42400440002000 is a wasteful number, since it uses less digits than its factorization.

42400440002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731042121 (or 731042105 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42400440002000 its reverse (20004400424), we get a palindrome (42420444402424).

The spelling of 42400440002000 in words is "forty-two trillion, four hundred billion, four hundred forty million, two thousand".