40210211144320 has 256 divisors, whose sum is σ = 112889468689920. Its totient is φ = 13406592614400.

The previous prime is 40210211144267. The next prime is 40210211144423. The reversal of 40210211144320 is 2344111201204.

It is a super-2 number, since 2×40210211144320² (a number of 28 digits) contains 22 as substring.

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, 315045957 + ... + 315173563.

It is an arithmetic number, because the mean of its divisors is an integer number (440974487070).

Almost surely, 2^{40210211144320} is an apocalyptic number.

40210211144320 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 40210211144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56444734344960).

40210211144320 is an abundant number, since it is smaller than the sum of its proper divisors (72679257545600).

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

40210211144320 is a wasteful number, since it uses less digits than its factorization.

40210211144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129571 (or 129559 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 40210211144320 its reverse (2344111201204), we get a palindrome (42554322345524).

The spelling of 40210211144320 in words is "forty trillion, two hundred ten billion, two hundred eleven million, one hundred forty-four thousand, three hundred twenty".