400122375048 has 324 divisors, whose sum is σ = 1241833182135. Its totient is φ = 120766140000.

The previous prime is 400122375041. The next prime is 400122375061. The reversal of 400122375048 is 840573221004.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

400122375048 is a `hidden beast` number, since 400 + 12 + 237 + 5 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200061187524 + 200061187524 = 447282^2 + 447282^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=447282.

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

It is not an unprimeable number, because it can be changed into a prime (400122375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1594112923 + ... + 1594113173.

Almost surely, 2^400122375048 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 400122375048

400122375048 is an abundant number, since it is smaller than the sum of its proper divisors (841710807087).

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

400122375048 is an frugal number, since it uses more digits than its factorization.

400122375048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 400122375048 in words is "four hundred billion, one hundred twenty-two million, three hundred seventy-five thousand, forty-eight".