101312040440 has 64 divisors (see below), whose sum is σ = 245690776800. Its totient is φ = 37376451072.

The previous prime is 101312040439. The next prime is 101312040461. The reversal of 101312040440 is 44040213101.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550451 + ... + 711069.

Almost surely, 2^101312040440 is an apocalyptic number.

101312040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122845388400).

101312040440 is an abundant number, since it is smaller than the sum of its proper divisors (144378736360).

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

101312040440 is a wasteful number, since it uses less digits than its factorization.

101312040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161856 (or 161852 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101312040440 its reverse (44040213101), we get a palindrome (145352253541).

The spelling of 101312040440 in words is "one hundred one billion, three hundred twelve million, forty thousand, four hundred forty".