21029079306240 has 1040 divisors, whose sum is σ = 76842152025408. Its totient is φ = 5500325855232.

The previous prime is 21029079306181. The next prime is 21029079306247. The reversal of 21029079306240 is 4260397092012.

21029079306240 is a `hidden beast` number, since 2 + 10 + 2 + 9 + 0 + 7 + 9 + 3 + 0 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21029079306247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22442987052 + ... + 22442987988.

Almost surely, 2^{21029079306240} is an apocalyptic number.

21029079306240 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 21029079306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38421076012704).

21029079306240 is an abundant number, since it is smaller than the sum of its proper divisors (55813072719168).

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

21029079306240 is an equidigital number, since it uses as much as digits as its factorization.

21029079306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 21029079306240 in words is "twenty-one trillion, twenty-nine billion, seventy-nine million, three hundred six thousand, two hundred forty".