40144100143240 has 256 divisors, whose sum is σ = 96548474880000. Its totient is φ = 14979137310720.

The previous prime is 40144100143229. The next prime is 40144100143267. The reversal of 40144100143240 is 4234100144104.

It is a super-2 number, since 2×40144100143240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144100143199 and 40144100143208.

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, 16733679561 + ... + 16733681959.

It is an arithmetic number, because the mean of its divisors is an integer number (377142480000).

Almost surely, 2^{40144100143240} is an apocalyptic number.

40144100143240 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 40144100143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48274237440000).

40144100143240 is an abundant number, since it is smaller than the sum of its proper divisors (56404374736760).

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

40144100143240 is a wasteful number, since it uses less digits than its factorization.

40144100143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 40144100143240 its reverse (4234100144104), we get a palindrome (44378200287344).

The spelling of 40144100143240 in words is "forty trillion, one hundred forty-four billion, one hundred million, one hundred forty-three thousand, two hundred forty".