400433200223040 has 280 divisors, whose sum is σ = 1424680737330312. Its totient is φ = 106761991127040.

The previous prime is 400433200223011. The next prime is 400433200223083. The reversal of 400433200223040 is 40322002334004.

400433200223040 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 332 + 0 + 0 + 22 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18373636456704 + 382059563766336 = 4286448^2 + 19546344^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 400433200222995 and 400433200223013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135839980 + ... + 138756500.

Almost surely, 2^{400433200223040} is an apocalyptic number.

400433200223040 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 400433200223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712340368665156).

400433200223040 is an abundant number, since it is smaller than the sum of its proper divisors (1024247537107272).

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

400433200223040 is a wasteful number, since it uses less digits than its factorization.

400433200223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921847 (or 2921828 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 400433200223040 its reverse (40322002334004), we get a palindrome (440755202557044).

The spelling of 400433200223040 in words is "four hundred trillion, four hundred thirty-three billion, two hundred million, two hundred twenty-three thousand, forty".