21032245440 has 168 divisors, whose sum is σ = 72420864048. Its totient is φ = 5602498560.

The previous prime is 21032245427. The next prime is 21032245459. The reversal of 21032245440 is 4454223012.

21032245440 is a `hidden beast` number, since 210 + 3 + 2 + 2 + 4 + 5 + 440 = 666.

It is a super-4 number, since 4×21032245440⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3052239 + ... + 3059121.

Almost surely, 2^21032245440 is an apocalyptic number.

21032245440 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 21032245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210432024).

21032245440 is an abundant number, since it is smaller than the sum of its proper divisors (51388618608).

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

21032245440 is a wasteful number, since it uses less digits than its factorization.

21032245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 21032245440 its reverse (4454223012), we get a palindrome (25486468452).

The spelling of 21032245440 in words is "twenty-one billion, thirty-two million, two hundred forty-five thousand, four hundred forty".