21761143040 has 324 divisors, whose sum is σ = 65689890084. Its totient is φ = 6883688448.

The previous prime is 21761143039. The next prime is 21761143043. The reversal of 21761143040 is 4034116712.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4176261376 + 17584881664 = 64624^2 + 132608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21761142994 and 21761143012.

It is not an unprimeable number, because it can be changed into a prime (21761143043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10598654 + ... + 10600706.

Almost surely, 2^21761143040 is an apocalyptic number.

21761143040 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 21761143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32844945042).

21761143040 is an abundant number, since it is smaller than the sum of its proper divisors (43928747044).

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

21761143040 is a wasteful number, since it uses less digits than its factorization.

21761143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 21761143040 its reverse (4034116712), we get a palindrome (25795259752).

The spelling of 21761143040 in words is "twenty-one billion, seven hundred sixty-one million, one hundred forty-three thousand, forty".