100140411003432 has 256 divisors, whose sum is σ = 265156452288000. Its totient is φ = 31470106214400.

The previous prime is 100140411003401. The next prime is 100140411003487. The reversal of 100140411003432 is 234300114041001.

100140411003432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100140411003432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8269909794 + ... + 8269921902.

It is an arithmetic number, because the mean of its divisors is an integer number (1035767391750).

Almost surely, 2^{100140411003432} is an apocalyptic number.

100140411003432 is a gapful number since it is divisible by the number (12) 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 100140411003432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132578226144000).

100140411003432 is an abundant number, since it is smaller than the sum of its proper divisors (165016041284568).

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

100140411003432 is a wasteful number, since it uses less digits than its factorization.

100140411003432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100140411003432 its reverse (234300114041001), we get a palindrome (334440525044433).

The spelling of 100140411003432 in words is "one hundred trillion, one hundred forty billion, four hundred eleven million, three thousand, four hundred thirty-two".