220821137834040 has 1536 divisors, whose sum is σ = 849838890700800. Its totient is φ = 51232587816960.

The previous prime is 220821137833951. The next prime is 220821137834083. The reversal of 220821137834040 is 40438731128022.

220821137834040 is a `hidden beast` number, since 2 + 20 + 8 + 211 + 3 + 7 + 8 + 3 + 404 + 0 = 666.

220821137834040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 22507500735 + ... + 22507510545.

It is an arithmetic number, because the mean of its divisors is an integer number (553280527800).

Almost surely, 2^{220821137834040} is an apocalyptic number.

220821137834040 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 220821137834040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424919445350400).

220821137834040 is an abundant number, since it is smaller than the sum of its proper divisors (629017752866760).

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

220821137834040 is a wasteful number, since it uses less digits than its factorization.

220821137834040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 220821137834040 in words is "two hundred twenty trillion, eight hundred twenty-one billion, one hundred thirty-seven million, eight hundred thirty-four thousand, forty".