40233102221312 has 224 divisors, whose sum is σ = 108031968100224. Its totient is φ = 14469444403200.

The previous prime is 40233102221269. The next prime is 40233102221317. The reversal of 40233102221312 is 21312220133204.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (40233102221317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747012 + ... + 10653372.

It is an arithmetic number, because the mean of its divisors is an integer number (482285571876).

Almost surely, 2^{40233102221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40233102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54015984050112).

40233102221312 is an abundant number, since it is smaller than the sum of its proper divisors (67798865878912).

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

40233102221312 is a wasteful number, since it uses less digits than its factorization.

40233102221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906418 (or 4906394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 40233102221312 its reverse (21312220133204), we get a palindrome (61545322354516).

The spelling of 40233102221312 in words is "forty trillion, two hundred thirty-three billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".