21441432240 has 400 divisors, whose sum is σ = 79433576640. Its totient is φ = 5341593600.

The previous prime is 21441432217. The next prime is 21441432251. The reversal of 21441432240 is 4223414412.

21441432240 is a `hidden beast` number, since 2 + 1 + 4 + 414 + 3 + 2 + 240 = 666.

It is a super-2 number, since 2×21441432240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16633516 + ... + 16634804.

Almost surely, 2^21441432240 is an apocalyptic number.

21441432240 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 21441432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39716788320).

21441432240 is an abundant number, since it is smaller than the sum of its proper divisors (57992144400).

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

21441432240 is a wasteful number, since it uses less digits than its factorization.

21441432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21441432240 its reverse (4223414412), we get a palindrome (25664846652).

The spelling of 21441432240 in words is "twenty-one billion, four hundred forty-one million, four hundred thirty-two thousand, two hundred forty".