40144224120 has 384 divisors, whose sum is σ = 164590755840. Its totient is φ = 7699829760.

The previous prime is 40144224089. The next prime is 40144224137. The reversal of 40144224120 is 2142244104.

40144224120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40144224120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816969 + ... + 864711.

It is an arithmetic number, because the mean of its divisors is an integer number (428621760).

Almost surely, 2^40144224120 is an apocalyptic number.

40144224120 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 40144224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82295377920).

40144224120 is an abundant number, since it is smaller than the sum of its proper divisors (124446531720).

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

40144224120 is a wasteful number, since it uses less digits than its factorization.

40144224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47795 (or 47784 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40144224120 its reverse (2142244104), we get a palindrome (42286468224).

The spelling of 40144224120 in words is "forty billion, one hundred forty-four million, two hundred twenty-four thousand, one hundred twenty".