40005141444 has 72 divisors (see below), whose sum is σ = 104663482560. Its totient is φ = 12868777152.

The previous prime is 40005141433. The next prime is 40005141457. The reversal of 40005141444 is 44414150004.

40005141444 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 514 + 144 + 4 = 666.

It is a super-2 number, since 2×40005141444² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2358297 + ... + 2375199.

It is an arithmetic number, because the mean of its divisors is an integer number (1453659480).

Almost surely, 2^40005141444 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 40005141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52331741280).

40005141444 is an abundant number, since it is smaller than the sum of its proper divisors (64658341116).

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

40005141444 is a wasteful number, since it uses less digits than its factorization.

40005141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19204 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 40005141444 its reverse (44414150004), we get a palindrome (84419291448).

The spelling of 40005141444 in words is "forty billion, five million, one hundred forty-one thousand, four hundred forty-four".