400350125344 has 96 divisors (see below), whose sum is σ = 878393784240. Its totient is φ = 178343424000.

The previous prime is 400350125299. The next prime is 400350125381. The reversal of 400350125344 is 443521053004.

It can be written as a sum of positive squares in 8 ways, for example, as 284622250000 + 115727875344 = 533500^2 + 340188^2 .

It is a super-2 number, since 2×400350125344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68773954 + ... + 68779774.

Almost surely, 2^400350125344 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 400350125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439196892120).

400350125344 is an abundant number, since it is smaller than the sum of its proper divisors (478043658896).

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

400350125344 is a wasteful number, since it uses less digits than its factorization.

400350125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 400350125344 its reverse (443521053004), we get a palindrome (843871178348).

The spelling of 400350125344 in words is "four hundred billion, three hundred fifty million, one hundred twenty-five thousand, three hundred forty-four".