40144622434140 has 288 divisors, whose sum is σ = 133993643212800. Its totient is φ = 8948924113920.

The previous prime is 40144622434139. The next prime is 40144622434151. The reversal of 40144622434140 is 4143422644104.

It is a super-2 number, since 2×40144622434140² (a number of 28 digits) contains 22 as substring.

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, 346976821 + ... + 347092499.

It is an arithmetic number, because the mean of its divisors is an integer number (465255705600).

Almost surely, 2^{40144622434140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40144622434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66996821606400).

40144622434140 is an abundant number, since it is smaller than the sum of its proper divisors (93849020778660).

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

40144622434140 is a wasteful number, since it uses less digits than its factorization.

40144622434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118625 (or 118616 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

The spelling of 40144622434140 in words is "forty trillion, one hundred forty-four billion, six hundred twenty-two million, four hundred thirty-four thousand, one hundred forty".