400144412122020 has 288 divisors, whose sum is σ = 1295979649316352. Its totient is φ = 99710252488704.

The previous prime is 400144412122003. The next prime is 400144412122079. The reversal of 400144412122020 is 20221214441004.

400144412122020 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 4 + 4 + 412 + 1 + 220 + 20 = 666.

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, 47211457 + ... + 55038263.

It is an arithmetic number, because the mean of its divisors is an integer number (4499929337904).

Almost surely, 2^{400144412122020} 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 400144412122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647989824658176).

400144412122020 is an abundant number, since it is smaller than the sum of its proper divisors (895835237194332).

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

400144412122020 is a wasteful number, since it uses less digits than its factorization.

400144412122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827131 (or 7827126 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 400144412122020 its reverse (20221214441004), we get a palindrome (420365626563024).

The spelling of 400144412122020 in words is "four hundred trillion, one hundred forty-four billion, four hundred twelve million, one hundred twenty-two thousand, twenty".