40442020103000 has 64 divisors (see below), whose sum is σ = 100201052203200. Its totient is φ = 15225231091200.

The previous prime is 40442020102997. The next prime is 40442020103021. The reversal of 40442020103000 is 30102024404.

It is a super-2 number, since 2×40442020103000² (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189454180 + ... + 1189488179.

It is an arithmetic number, because the mean of its divisors is an integer number (1565641440675).

Almost surely, 2^{40442020103000} is an apocalyptic number.

40442020103000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442020103000 is an abundant number, since it is smaller than the sum of its proper divisors (59759032100200).

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

40442020103000 is a wasteful number, since it uses less digits than its factorization.

40442020103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378942397 (or 2378942383 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40442020103000 its reverse (30102024404), we get a palindrome (40472122127404).

The spelling of 40442020103000 in words is "forty trillion, four hundred forty-two billion, twenty million, one hundred three thousand".