400114434424400 has 60 divisors (see below), whose sum is σ = 965830734257664. Its totient is φ = 159287262960000.

The previous prime is 400114434424399. The next prime is 400114434424427. The reversal of 400114434424400 is 4424434411004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370261776 + ... + 2370430575.

Almost surely, 2^{400114434424400} is an apocalyptic number.

400114434424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400114434424400 is an abundant number, since it is smaller than the sum of its proper divisors (565716299833264).

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

400114434424400 is a wasteful number, since it uses less digits than its factorization.

400114434424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740692580 (or 4740692569 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 400114434424400 its reverse (4424434411004), we get a palindrome (404538868835404).

The spelling of 400114434424400 in words is "four hundred trillion, one hundred fourteen billion, four hundred thirty-four million, four hundred twenty-four thousand, four hundred".