21480863040 has 840 divisors, whose sum is σ = 95797509192. Its totient is φ = 4528742400.

The previous prime is 21480863011. The next prime is 21480863051. The reversal of 21480863040 is 4036808412.

21480863040 is a `hidden beast` number, since 2 + 14 + 8 + 0 + 8 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1280494656 + 20200368384 = 35784^2 + 142128^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×21480863040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21480862986 and 21480863004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510390 + ... + 16511690.

Almost surely, 2^21480863040 is an apocalyptic number.

21480863040 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 21480863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47898754596).

21480863040 is an abundant number, since it is smaller than the sum of its proper divisors (74316646152).

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

21480863040 is a wasteful number, since it uses less digits than its factorization.

21480863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21480863040 in words is "twenty-one billion, four hundred eighty million, eight hundred sixty-three thousand, forty".