40221412233000 has 256 divisors, whose sum is σ = 126389820960000. Its totient is φ = 10649059328000.

The previous prime is 40221412232999. The next prime is 40221412233043. The reversal of 40221412233000 is 33221412204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 344158576 + ... + 344275424.

It is an arithmetic number, because the mean of its divisors is an integer number (493710238125).

Almost surely, 2^{40221412233000} is an apocalyptic number.

40221412233000 is a gapful number since it is divisible by the number (40) 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 40221412233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63194910480000).

40221412233000 is an abundant number, since it is smaller than the sum of its proper divisors (86168408727000).

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

40221412233000 is a wasteful number, since it uses less digits than its factorization.

40221412233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117693 (or 117679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40221412233000 its reverse (33221412204), we get a palindrome (40254633645204).

The spelling of 40221412233000 in words is "forty trillion, two hundred twenty-one billion, four hundred twelve million, two hundred thirty-three thousand".