101034413440 has 64 divisors (see below), whose sum is σ = 245140504560. Its totient is φ = 39810557952.

The previous prime is 101034413423. The next prime is 101034413461. The reversal of 101034413440 is 44314430101.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1135227 + ... + 1220986.

Almost surely, 2^101034413440 is an apocalyptic number.

101034413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101034413440 is an abundant number, since it is smaller than the sum of its proper divisors (144106091120).

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

101034413440 is an equidigital number, since it uses as much as digits as its factorization.

101034413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356299 (or 2356287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101034413440 its reverse (44314430101), we get a palindrome (145348843541).

The spelling of 101034413440 in words is "one hundred one billion, thirty-four million, four hundred thirteen thousand, four hundred forty".