21227772041000 has 256 divisors, whose sum is σ = 60269762741760. Its totient is φ = 6831591321600.

The previous prime is 21227772040973. The next prime is 21227772041011. The reversal of 21227772041000 is 14027772212.

It is a super-2 number, since 2×21227772041000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44147879 + ... + 44626121.

It is an arithmetic number, because the mean of its divisors is an integer number (235428760710).

Almost surely, 2^{21227772041000} is an apocalyptic number.

21227772041000 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 21227772041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30134881370880).

21227772041000 is an abundant number, since it is smaller than the sum of its proper divisors (39041990700760).

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

21227772041000 is a wasteful number, since it uses less digits than its factorization.

21227772041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478661 (or 478647 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The spelling of 21227772041000 in words is "twenty-one trillion, two hundred twenty-seven billion, seven hundred seventy-two million, forty-one thousand".