40214441001120 has 192 divisors, whose sum is σ = 128708754983424. Its totient is φ = 10552404418560.

The previous prime is 40214441001101. The next prime is 40214441001131. The reversal of 40214441001120 is 2110014441204.

It is a super-2 number, since 2×40214441001120² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13770834 + ... + 16433646.

It is an arithmetic number, because the mean of its divisors is an integer number (670358098872).

Almost surely, 2^{40214441001120} is an apocalyptic number.

40214441001120 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 40214441001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64354377491712).

40214441001120 is an abundant number, since it is smaller than the sum of its proper divisors (88494313982304).

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

40214441001120 is a wasteful number, since it uses less digits than its factorization.

40214441001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663335 (or 2663327 counting only the distinct ones).

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

Adding to 40214441001120 its reverse (2110014441204), we get a palindrome (42324455442324).

The spelling of 40214441001120 in words is "forty trillion, two hundred fourteen billion, four hundred forty-one million, one thousand, one hundred twenty".