21246935040 has 320 divisors, whose sum is σ = 76220612820. Its totient is φ = 5662310400.

The previous prime is 21246935033. The next prime is 21246935107. The reversal of 21246935040 is 4053964212.

It is a happy number.

21246935040 is a `hidden beast` number, since 21 + 2 + 46 + 93 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19430129664 + 1816805376 = 139392^2 + 42624^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 = 21246934986 and 21246935004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13270240 + ... + 13271840.

Almost surely, 2^21246935040 is an apocalyptic number.

21246935040 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 21246935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38110306410).

21246935040 is an abundant number, since it is smaller than the sum of its proper divisors (54973677780).

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

21246935040 is an frugal number, since it uses more digits than its factorization.

21246935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21246935040 in words is "twenty-one billion, two hundred forty-six million, nine hundred thirty-five thousand, forty".