40123111644 has 288 divisors, whose sum is σ = 134898176000. Its totient is φ = 10084694400.

The previous prime is 40123111643. The next prime is 40123111667. The reversal of 40123111644 is 44611132104.

40123111644 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 3 + 1 + 11 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40123111643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2828682 + ... + 2842830.

Almost surely, 2^40123111644 is an apocalyptic number.

40123111644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40123111644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67449088000).

40123111644 is an abundant number, since it is smaller than the sum of its proper divisors (94775064356).

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

40123111644 is a wasteful number, since it uses less digits than its factorization.

40123111644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14222 (or 14203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40123111644 its reverse (44611132104), we get a palindrome (84734243748).

The spelling of 40123111644 in words is "forty billion, one hundred twenty-three million, one hundred eleven thousand, six hundred forty-four".