21151928226240 has 224 divisors, whose sum is σ = 85279202933760. Its totient is φ = 4834726437888.

The previous prime is 21151928226217. The next prime is 21151928226257. The reversal of 21151928226240 is 4262282915112.

21151928226240 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 19 + 2 + 8 + 2 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 174806652 + ... + 174927611.

Almost surely, 2^{21151928226240} is an apocalyptic number.

21151928226240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21151928226240 is an abundant number, since it is smaller than the sum of its proper divisors (64127274707520).

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

21151928226240 is a wasteful number, since it uses less digits than its factorization.

21151928226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349734296 (or 349734280 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21151928226240 in words is "twenty-one trillion, one hundred fifty-one billion, nine hundred twenty-eight million, two hundred twenty-six thousand, two hundred forty".