100421431440 has 320 divisors, whose sum is σ = 349777612800. Its totient is φ = 23626137600.

The previous prime is 100421431427. The next prime is 100421431441. The reversal of 100421431440 is 44134124001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100421431440.

It is not an unprimeable number, because it can be changed into a prime (100421431441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12300960 + ... + 12309120.

It is an arithmetic number, because the mean of its divisors is an integer number (1093055040).

Almost surely, 2^100421431440 is an apocalyptic number.

100421431440 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 100421431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174888806400).

100421431440 is an abundant number, since it is smaller than the sum of its proper divisors (249356181360).

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

100421431440 is a wasteful number, since it uses less digits than its factorization.

100421431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100421431440 its reverse (44134124001), we get a palindrome (144555555441).

The spelling of 100421431440 in words is "one hundred billion, four hundred twenty-one million, four hundred thirty-one thousand, four hundred forty".