40101442021410 has 384 divisors, whose sum is σ = 124167839846400. Its totient is φ = 8110398912000.

The previous prime is 40101442021397. The next prime is 40101442021439. The reversal of 40101442021410 is 1412024410104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151285771 + ... + 151550609.

It is an arithmetic number, because the mean of its divisors is an integer number (323353749600).

Almost surely, 2^{40101442021410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101442021410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62083919923200).

40101442021410 is an abundant number, since it is smaller than the sum of its proper divisors (84066397824990).

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

40101442021410 is a wasteful number, since it uses less digits than its factorization.

40101442021410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265038 (or 265027 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 40101442021410 its reverse (1412024410104), we get a palindrome (41513466431514).

It can be divided in two parts, 401014 and 42021410, that added together give a palindrome (42422424).

The spelling of 40101442021410 in words is "forty trillion, one hundred one billion, four hundred forty-two million, twenty-one thousand, four hundred ten".