101410442040 has 64 divisors (see below), whose sum is σ = 322127292960. Its totient is φ = 25452032000.

The previous prime is 101410441987. The next prime is 101410442059. The reversal of 101410442040 is 40244014101.

It is a junction number, because it is equal to n+sod(n) for n = 101410441998 and 101410442016.

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, 24853461 + ... + 24857540.

Almost surely, 2^101410442040 is an apocalyptic number.

101410442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101410442040 is an abundant number, since it is smaller than the sum of its proper divisors (220716850920).

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

101410442040 is a wasteful number, since it uses less digits than its factorization.

101410442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49711032 (or 49711028 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101410442040 its reverse (40244014101), we get a palindrome (141654456141).

The spelling of 101410442040 in words is "one hundred one billion, four hundred ten million, four hundred forty-two thousand, forty".