400030434441344 has 128 divisors (see below), whose sum is σ = 940729144442880. Its totient is φ = 165811454714880.

The previous prime is 400030434441329. The next prime is 400030434441353. The reversal of 400030434441344 is 443144434030004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 400030434441298 and 400030434441307.

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, 41861357 + ... + 50521619.

It is an arithmetic number, because the mean of its divisors is an integer number (7349446440960).

Almost surely, 2^{400030434441344} 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 400030434441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470364572221440).

400030434441344 is an abundant number, since it is smaller than the sum of its proper divisors (540698710001536).

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

400030434441344 is a wasteful number, since it uses less digits than its factorization.

400030434441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661978 (or 8661966 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 400030434441344 its reverse (443144434030004), we get a palindrome (843174868471348).

The spelling of 400030434441344 in words is "four hundred trillion, thirty billion, four hundred thirty-four million, four hundred forty-one thousand, three hundred forty-four".