100872390079440 has 960 divisors, whose sum is σ = 401335570022400. Its totient is φ = 22229232537600.

The previous prime is 100872390079423. The next prime is 100872390079451. The reversal of 100872390079440 is 44970093278001.

100872390079440 is a `hidden beast` number, since 10 + 0 + 87 + 23 + 90 + 0 + 7 + 9 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4761040527 + ... + 4761061713.

It is an arithmetic number, because the mean of its divisors is an integer number (418057885440).

Almost surely, 2^{100872390079440} is an apocalyptic number.

100872390079440 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 100872390079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200667785011200).

100872390079440 is an abundant number, since it is smaller than the sum of its proper divisors (300463179942960).

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

100872390079440 is a wasteful number, since it uses less digits than its factorization.

100872390079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21560 (or 21551 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 100872390079440 in words is "one hundred trillion, eight hundred seventy-two billion, three hundred ninety million, seventy-nine thousand, four hundred forty".