21411365040 has 400 divisors, whose sum is σ = 80406916128. Its totient is φ = 5249359872.

The previous prime is 21411365039. The next prime is 21411365051. The reversal of 21411365040 is 4056311412.

It is a happy number.

21411365040 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 3 + 650 + 4 + 0 = 666.

It is a super-2 number, since 2×21411365040² (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 a junction number, because it is equal to n+sod(n) for n = 21411364995 and 21411365013.

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, 36475627 + ... + 36476213.

Almost surely, 2^21411365040 is an apocalyptic number.

21411365040 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 21411365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40203458064).

21411365040 is an abundant number, since it is smaller than the sum of its proper divisors (58995551088).

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

21411365040 is a wasteful number, since it uses less digits than its factorization.

21411365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21411365040 its reverse (4056311412), we get a palindrome (25467676452).

The spelling of 21411365040 in words is "twenty-one billion, four hundred eleven million, three hundred sixty-five thousand, forty".