400443011242240 has 144 divisors (see below), whose sum is σ = 971336032849728. Its totient is φ = 158150620848128.

The previous prime is 400443011242237. The next prime is 400443011242283. The reversal of 400443011242240 is 42242110344004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172763619 + ... + 175066141.

It is an arithmetic number, because the mean of its divisors is an integer number (6745389117012).

Almost surely, 2^{400443011242240} is an apocalyptic number.

400443011242240 is a gapful number since it is divisible by the number (40) 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 400443011242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485668016424864).

400443011242240 is an abundant number, since it is smaller than the sum of its proper divisors (570893021607488).

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

400443011242240 is a wasteful number, since it uses less digits than its factorization.

400443011242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304264 (or 2304250 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 400443011242240 its reverse (42242110344004), we get a palindrome (442685121586244).

The spelling of 400443011242240 in words is "four hundred trillion, four hundred forty-three billion, eleven million, two hundred forty-two thousand, two hundred forty".