2414421321100 has 144 divisors (see below), whose sum is σ = 5509723355136. Its totient is φ = 917427168000.

The previous prime is 2414421321097. The next prime is 2414421321121. The reversal of 2414421321100 is 11231244142.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27013485 + ... + 27102715.

It is an arithmetic number, because the mean of its divisors is an integer number (38261967744).

Almost surely, 2^{2414421321100} is an apocalyptic number.

2414421321100 is a gapful number since it is divisible by the number (20) 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 2414421321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754861677568).

2414421321100 is an abundant number, since it is smaller than the sum of its proper divisors (3095302034036).

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

2414421321100 is a wasteful number, since it uses less digits than its factorization.

2414421321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89456 (or 89449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2414421321100 its reverse (11231244142), we get a palindrome (2425652565242).

The spelling of 2414421321100 in words is "two trillion, four hundred fourteen billion, four hundred twenty-one million, three hundred twenty-one thousand, one hundred".