40121646444 has 144 divisors (see below), whose sum is σ = 114094955520. Its totient is φ = 11783301120.

The previous prime is 40121646401. The next prime is 40121646469. The reversal of 40121646444 is 44464612104.

40121646444 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 1 + 6 + 4 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40121646399 and 40121646408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906572 + ... + 1927500.

It is an arithmetic number, because the mean of its divisors is an integer number (792326080).

Almost surely, 2^40121646444 is an apocalyptic number.

40121646444 is a gapful number since it is divisible by the number (44) 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 40121646444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57047477760).

40121646444 is an abundant number, since it is smaller than the sum of its proper divisors (73973309076).

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

40121646444 is a wasteful number, since it uses less digits than its factorization.

40121646444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100 (or 21095 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 40121646444 in words is "forty billion, one hundred twenty-one million, six hundred forty-six thousand, four hundred forty-four".