21445310040 has 256 divisors, whose sum is σ = 80376606720. Its totient is φ = 4446973440.

The previous prime is 21445310011. The next prime is 21445310057. The reversal of 21445310040 is 4001354412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5052159 + ... + 5056401.

It is an arithmetic number, because the mean of its divisors is an integer number (313971120).

Almost surely, 2^21445310040 is an apocalyptic number.

21445310040 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 21445310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40188303360).

21445310040 is an abundant number, since it is smaller than the sum of its proper divisors (58931296680).

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

21445310040 is a wasteful number, since it uses less digits than its factorization.

21445310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 21445310040 its reverse (4001354412), we get a palindrome (25446664452).

The spelling of 21445310040 in words is "twenty-one billion, four hundred forty-five million, three hundred ten thousand, forty".