4122705413772 has 144 divisors (see below), whose sum is σ = 11580140636064. Its totient is φ = 1226155392000.

The previous prime is 4122705413767. The next prime is 4122705413773. The reversal of 4122705413772 is 2773145072214.

4122705413772 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 7 + 0 + 541 + 37 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4122705413773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10950808 + ... + 11321024.

It is an arithmetic number, because the mean of its divisors is an integer number (80417643306).

Almost surely, 2^{4122705413772} 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 4122705413772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790070318032).

4122705413772 is an abundant number, since it is smaller than the sum of its proper divisors (7457435222292).

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

4122705413772 is a wasteful number, since it uses less digits than its factorization.

4122705413772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370760 (or 370755 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 4122705413772 in words is "four trillion, one hundred twenty-two billion, seven hundred five million, four hundred thirteen thousand, seven hundred seventy-two".