40144101043200 has 528 divisors, whose sum is σ = 165417181503744. Its totient is φ = 8341630156800.

The previous prime is 40144101043199. The next prime is 40144101043217. The reversal of 40144101043200 is 234010144104.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×40144101043200² (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 47 ways as a sum of consecutive naturals, for example, 2519382 + ... + 9307818.

Almost surely, 2^{40144101043200} is an apocalyptic number.

40144101043200 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 40144101043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82708590751872).

40144101043200 is an abundant number, since it is smaller than the sum of its proper divisors (125273080460544).

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

40144101043200 is a wasteful number, since it uses less digits than its factorization.

40144101043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788488 (or 6788465 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40144101043200 its reverse (234010144104), we get a palindrome (40378111187304).

The spelling of 40144101043200 in words is "forty trillion, one hundred forty-four billion, one hundred one million, forty-three thousand, two hundred".