400434312550120 has 64 divisors (see below), whose sum is σ = 901371744000000. Its totient is φ = 160103595299328.

The previous prime is 400434312550099. The next prime is 400434312550171. The reversal of 400434312550120 is 21055213434004.

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 15 ways as a sum of consecutive naturals, for example, 1228166881 + ... + 1228492879.

It is an arithmetic number, because the mean of its divisors is an integer number (14083933500000).

Almost surely, 2^{400434312550120} is an apocalyptic number.

400434312550120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400434312550120 is an abundant number, since it is smaller than the sum of its proper divisors (500937431449880).

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

400434312550120 is a wasteful number, since it uses less digits than its factorization.

400434312550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339362 (or 339358 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 400434312550120 its reverse (21055213434004), we get a palindrome (421489525984124).

The spelling of 400434312550120 in words is "four hundred trillion, four hundred thirty-four billion, three hundred twelve million, five hundred fifty thousand, one hundred twenty".