100414075765760 has 528 divisors, whose sum is σ = 259657596342144. Its totient is φ = 37169789927424.

The previous prime is 100414075765747. The next prime is 100414075765777. The reversal of 100414075765760 is 67567570414001.

It is a super-2 number, since 2×100414075765760² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64658129144 + ... + 64658130696.

It is an arithmetic number, because the mean of its divisors is an integer number (491775750648).

Almost surely, 2^{100414075765760} is an apocalyptic number.

100414075765760 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 100414075765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129828798171072).

100414075765760 is an abundant number, since it is smaller than the sum of its proper divisors (159243520576384).

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

100414075765760 is a wasteful number, since it uses less digits than its factorization.

100414075765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 100414075765760 in words is "one hundred trillion, four hundred fourteen billion, seventy-five million, seven hundred sixty-five thousand, seven hundred sixty".