40135134272 has 56 divisors (see below), whose sum is σ = 83919608640. Its totient is φ = 18992171520.

The previous prime is 40135134271. The next prime is 40135134289. The reversal of 40135134272 is 27243153104.

It is a super-2 number, since 2×40135134272² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40135134271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225373 + ... + 1257699.

It is an arithmetic number, because the mean of its divisors is an integer number (1498564440).

Almost surely, 2^40135134272 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 40135134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41959804320).

40135134272 is an abundant number, since it is smaller than the sum of its proper divisors (43784474368).

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

40135134272 is a wasteful number, since it uses less digits than its factorization.

40135134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33379 (or 33369 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 40135134272 its reverse (27243153104), we get a palindrome (67378287376).

The spelling of 40135134272 in words is "forty billion, one hundred thirty-five million, one hundred thirty-four thousand, two hundred seventy-two".