40132022023104 has 224 divisors, whose sum is σ = 120756145047552. Its totient is φ = 11652395520000.

The previous prime is 40132022023103. The next prime is 40132022023133.

It is a happy number.

40132022023104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40132022023104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132022023103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3578194 + ... + 9647150.

It is an arithmetic number, because the mean of its divisors is an integer number (539089933248).

Almost surely, 2^{40132022023104} is an apocalyptic number.

40132022023104 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 40132022023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60378072523776).

40132022023104 is an abundant number, since it is smaller than the sum of its proper divisors (80624123024448).

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

40132022023104 is a wasteful number, since it uses less digits than its factorization.

40132022023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069115 (or 6069105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4013202 and 2023104, that added together give a palindrome (6036306).

The spelling of 40132022023104 in words is "forty trillion, one hundred thirty-two billion, twenty-two million, twenty-three thousand, one hundred four".