400832630400 has 192 divisors, whose sum is σ = 1336151668320. Its totient is φ = 105600675840.

The previous prime is 400832630399. The next prime is 400832630411. The reversal of 400832630400 is 4036238004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 545274 + ... + 1048326.

Almost surely, 2^400832630400 is an apocalyptic number.

400832630400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400832630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668075834160).

400832630400 is an abundant number, since it is smaller than the sum of its proper divisors (935319037920).

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

400832630400 is a wasteful number, since it uses less digits than its factorization.

400832630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503163 (or 503146 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 400832630400 its reverse (4036238004), we get a palindrome (404868868404).

The spelling of 400832630400 in words is "four hundred billion, eight hundred thirty-two million, six hundred thirty thousand, four hundred".