101144279040 has 768 divisors, whose sum is σ = 391547520000. Its totient is φ = 22254059520.

The previous prime is 101144279003. The next prime is 101144279057. The reversal of 101144279040 is 40972441101.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 101144278992 and 101144279010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305571675 + ... + 305572005.

It is an arithmetic number, because the mean of its divisors is an integer number (509827500).

Almost surely, 2^101144279040 is an apocalyptic number.

101144279040 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 101144279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195773760000).

101144279040 is an abundant number, since it is smaller than the sum of its proper divisors (290403240960).

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

101144279040 is an equidigital number, since it uses as much as digits as its factorization.

101144279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 101144279040 in words is "one hundred one billion, one hundred forty-four million, two hundred seventy-nine thousand, forty".