21101014440 has 192 divisors, whose sum is σ = 75403560960. Its totient is φ = 5074997760.

The previous prime is 21101014439. The next prime is 21101014457. The reversal of 21101014440 is 4441010112.

21101014440 is a `hidden beast` number, since 211 + 0 + 1 + 0 + 14 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 481942 + ... + 523898.

It is an arithmetic number, because the mean of its divisors is an integer number (392726880).

Almost surely, 2^21101014440 is an apocalyptic number.

21101014440 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 21101014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37701780480).

21101014440 is an abundant number, since it is smaller than the sum of its proper divisors (54302546520).

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

21101014440 is a wasteful number, since it uses less digits than its factorization.

21101014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42112 (or 42105 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21101014440 its reverse (4441010112), we get a palindrome (25542024552).

The spelling of 21101014440 in words is "twenty-one billion, one hundred one million, fourteen thousand, four hundred forty".