21235484154240 has 384 divisors, whose sum is σ = 80517887442720. Its totient is φ = 5329689477120.

The previous prime is 21235484154239. The next prime is 21235484154289. The reversal of 21235484154240 is 4245148453212.

21235484154240 is a `hidden beast` number, since 2 + 1 + 2 + 354 + 8 + 4 + 1 + 54 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1372191 + ... + 6659870.

Almost surely, 2^{21235484154240} is an apocalyptic number.

21235484154240 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 21235484154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40258943721360).

21235484154240 is an abundant number, since it is smaller than the sum of its proper divisors (59282403288480).

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

21235484154240 is an equidigital number, since it uses as much as digits as its factorization.

21235484154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032112 (or 8032088 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 21235484154240 in words is "twenty-one trillion, two hundred thirty-five billion, four hundred eighty-four million, one hundred fifty-four thousand, two hundred forty".