100079821440 has 576 divisors, whose sum is σ = 373701276000. Its totient is φ = 24668110848.

The previous prime is 100079821417. The next prime is 100079821463. The reversal of 100079821440 is 44128970001.

100079821440 is a `hidden beast` number, since 100 + 0 + 7 + 98 + 21 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (100079821417) and next prime (100079821463).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100079821395 and 100079821404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98213251 + ... + 98214269.

Almost surely, 2^100079821440 is an apocalyptic number.

100079821440 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 100079821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186850638000).

100079821440 is an abundant number, since it is smaller than the sum of its proper divisors (273621454560).

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

100079821440 is a wasteful number, since it uses less digits than its factorization.

100079821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100079821440 in words is "one hundred billion, seventy-nine million, eight hundred twenty-one thousand, four hundred forty".