40220320233120 has 192 divisors, whose sum is σ = 129791436203520. Its totient is φ = 10463232204800.

The previous prime is 40220320233101. The next prime is 40220320233131. The reversal of 40220320233120 is 2133202302204.

It is a super-2 number, since 2×40220320233120² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429744730 + ... + 429838310.

It is an arithmetic number, because the mean of its divisors is an integer number (675997063560).

Almost surely, 2^{40220320233120} is an apocalyptic number.

40220320233120 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 40220320233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64895718101760).

40220320233120 is an abundant number, since it is smaller than the sum of its proper divisors (89571115970400).

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

40220320233120 is a wasteful number, since it uses less digits than its factorization.

40220320233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115479 (or 115471 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40220320233120 its reverse (2133202302204), we get a palindrome (42353522535324).

The spelling of 40220320233120 in words is "forty trillion, two hundred twenty billion, three hundred twenty million, two hundred thirty-three thousand, one hundred twenty".