40413222000 has 320 divisors, whose sum is σ = 145108629120. Its totient is φ = 10751616000.

The previous prime is 40413221999. The next prime is 40413222071. The reversal of 40413222000 is 22231404.

It is a super-3 number, since 3×40413222000³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39581490 + ... + 39582510.

It is an arithmetic number, because the mean of its divisors is an integer number (453464466).

Almost surely, 2^40413222000 is an apocalyptic number.

40413222000 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 40413222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72554314560).

40413222000 is an abundant number, since it is smaller than the sum of its proper divisors (104695407120).

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

40413222000 is a wasteful number, since it uses less digits than its factorization.

40413222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1764 counting only the distinct ones).

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

Adding to 40413222000 its reverse (22231404), we get a palindrome (40435453404).

The spelling of 40413222000 in words is "forty billion, four hundred thirteen million, two hundred twenty-two thousand".