400005152144 has 80 divisors (see below), whose sum is σ = 889014849408. Its totient is φ = 172717172736.

The previous prime is 400005152087. The next prime is 400005152159. The reversal of 400005152144 is 441251500004.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251819 + ... + 929205.

Almost surely, 2^400005152144 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 400005152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444507424704).

400005152144 is an abundant number, since it is smaller than the sum of its proper divisors (489009697264).

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

400005152144 is a wasteful number, since it uses less digits than its factorization.

400005152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677592 (or 677586 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 400005152144 its reverse (441251500004), we get a palindrome (841256652148).

The spelling of 400005152144 in words is "four hundred billion, five million, one hundred fifty-two thousand, one hundred forty-four".