400144333340 has 48 divisors (see below), whose sum is σ = 887774428800. Its totient is φ = 151250437632.

The previous prime is 400144333331. The next prime is 400144333343. The reversal of 400144333340 is 43333441004.

It is a super-3 number, since 3×400144333340³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400144333343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7312145 + ... + 7366664.

It is an arithmetic number, because the mean of its divisors is an integer number (18495300600).

Almost surely, 2^400144333340 is an apocalyptic number.

It is an amenable number.

400144333340 is an abundant number, since it is smaller than the sum of its proper divisors (487630095460).

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

400144333340 is a wasteful number, since it uses less digits than its factorization.

400144333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14678894 (or 14678892 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 400144333340 its reverse (43333441004), we get a palindrome (443477774344).

The spelling of 400144333340 in words is "four hundred billion, one hundred forty-four million, three hundred thirty-three thousand, three hundred forty".