400302414411400 has 48 divisors (see below), whose sum is σ = 930806540640000. Its totient is φ = 160103171849280.

The previous prime is 400302414411377. The next prime is 400302414411433. The reversal of 400302414411400 is 4114414203004.

It is a super-4 number, since 4×400302414411400⁴ (a number of 60 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 109407672 + ... + 113007271.

It is an arithmetic number, because the mean of its divisors is an integer number (19391802930000).

Almost surely, 2^{400302414411400} is an apocalyptic number.

400302414411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400302414411400 is an abundant number, since it is smaller than the sum of its proper divisors (530504126228600).

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

400302414411400 is a wasteful number, since it uses less digits than its factorization.

400302414411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222423958 (or 222423949 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 400302414411400 its reverse (4114414203004), we get a palindrome (404416828614404).

The spelling of 400302414411400 in words is "four hundred trillion, three hundred two billion, four hundred fourteen million, four hundred eleven thousand, four hundred".