40322022120 has 192 divisors, whose sum is σ = 131891760000. Its totient is φ = 10683477504.

The previous prime is 40322022113. The next prime is 40322022127. The reversal of 40322022120 is 2122022304.

40322022120 is a `hidden beast` number, since 403 + 2 + 20 + 221 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (40322022113) and next prime (40322022127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40322022093 and 40322022102.

It is not an unprimeable number, because it can be changed into a prime (40322022127) 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 47 ways as a sum of consecutive naturals, for example, 61186351 + ... + 61187009.

It is an arithmetic number, because the mean of its divisors is an integer number (686936250).

Almost surely, 2^40322022120 is an apocalyptic number.

40322022120 is a gapful number since it is divisible by the number (40) 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 40322022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945880000).

40322022120 is an abundant number, since it is smaller than the sum of its proper divisors (91569737880).

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

40322022120 is a wasteful number, since it uses less digits than its factorization.

40322022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40322022120 its reverse (2122022304), we get a palindrome (42444044424).

The spelling of 40322022120 in words is "forty billion, three hundred twenty-two million, twenty-two thousand, one hundred twenty".