21130732740 has 192 divisors, whose sum is σ = 66256404480. Its totient is φ = 4996615680.

The previous prime is 21130732729. The next prime is 21130732741. The reversal of 21130732740 is 4723703112.

It is a super-2 number, since 2×21130732740² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21130732698 and 21130732707.

It is not an unprimeable number, because it can be changed into a prime (21130732741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3357877 + ... + 3364163.

It is an arithmetic number, because the mean of its divisors is an integer number (345085440).

Almost surely, 2^21130732740 is an apocalyptic number.

21130732740 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 21130732740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33128202240).

21130732740 is an abundant number, since it is smaller than the sum of its proper divisors (45125671740).

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

21130732740 is a wasteful number, since it uses less digits than its factorization.

21130732740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 21130732740 in words is "twenty-one billion, one hundred thirty million, seven hundred thirty-two thousand, seven hundred forty".