42762121272 has 288 divisors, whose sum is σ = 132430006800. Its totient is φ = 12388045824.

The previous prime is 42762121261. The next prime is 42762121309. The reversal of 42762121272 is 27212126724.

42762121272 is a `hidden beast` number, since 4 + 2 + 7 + 621 + 2 + 1 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33174004 + ... + 33175292.

Almost surely, 2^42762121272 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 42762121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66215003400).

42762121272 is an abundant number, since it is smaller than the sum of its proper divisors (89667885528).

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

42762121272 is a wasteful number, since it uses less digits than its factorization.

42762121272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1397 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

Adding to 42762121272 its reverse (27212126724), we get a palindrome (69974247996).

The spelling of 42762121272 in words is "forty-two billion, seven hundred sixty-two million, one hundred twenty-one thousand, two hundred seventy-two".