21095720144640 has 1440 divisors, whose sum is σ = 81939921186816. Its totient is φ = 5166867087360.

The previous prime is 21095720144621. The next prime is 21095720144651. The reversal of 21095720144640 is 4644102759012.

21095720144640 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 572 + 0 + 14 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10127565039 + ... + 10127567121.

Almost surely, 2^{21095720144640} is an apocalyptic number.

21095720144640 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 21095720144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40969960593408).

21095720144640 is an abundant number, since it is smaller than the sum of its proper divisors (60844201042176).

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

21095720144640 is a wasteful number, since it uses less digits than its factorization.

21095720144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21095720144640 in words is "twenty-one trillion, ninety-five billion, seven hundred twenty million, one hundred forty-four thousand, six hundred forty".