400051433952 has 120 divisors (see below), whose sum is σ = 1181591467056. Its totient is φ = 132777957888.

The previous prime is 400051433923. The next prime is 400051433993. The reversal of 400051433952 is 259334150004.

It is a super-2 number, since 2×400051433952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 272733 + ... + 935139.

Almost surely, 2^400051433952 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 400051433952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590795733528).

400051433952 is an abundant number, since it is smaller than the sum of its proper divisors (781540033104).

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

400051433952 is a wasteful number, since it uses less digits than its factorization.

400051433952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662662 (or 662645 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 400051433952 its reverse (259334150004), we get a palindrome (659385583956).

The spelling of 400051433952 in words is "four hundred billion, fifty-one million, four hundred thirty-three thousand, nine hundred fifty-two".