40111222211104 has 72 divisors (see below), whose sum is σ = 87173138723580. Its totient is φ = 18154122792960.

The previous prime is 40111222211009. The next prime is 40111222211161.

40111222211104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 39880488010000 + 230734201104 = 6315100^2 + 480348^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21328089 + ... + 23132440.

Almost surely, 2^{40111222211104} is an apocalyptic number.

40111222211104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40111222211104 is an abundant number, since it is smaller than the sum of its proper divisors (47061916512476).

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

40111222211104 is a wasteful number, since it uses less digits than its factorization.

40111222211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44460794 (or 44460775 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Multiplying 40111222211104 by its sum of digits (22), we get a palindrome (882446888644288).

It can be divided in two parts, 4011122 and 2211104, that added together give a palindrome (6222226).

The spelling of 40111222211104 in words is "forty trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred four".