1200414442401 has 32 divisors (see below), whose sum is σ = 1782238819200. Its totient is φ = 798546470400.

The previous prime is 1200414442397. The next prime is 1200414442411. The reversal of 1200414442401 is 1042444140021.

It is a happy number.

1200414442401 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 414 + 4 + 4 + 240 + 1 = 666.

It is not a de Polignac number, because 1200414442401 - 2² = 1200414442397 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1200414442411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34529910 + ... + 34564656.

It is an arithmetic number, because the mean of its divisors is an integer number (55694963100).

Almost surely, 2^{1200414442401} is an apocalyptic number.

It is an amenable number.

1200414442401 is a deficient number, since it is larger than the sum of its proper divisors (581824376799).

1200414442401 is a wasteful number, since it uses less digits than its factorization.

1200414442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37486 (or 37480 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1200414442401 its reverse (1042444140021), we get a palindrome (2242858582422).

The spelling of 1200414442401 in words is "one trillion, two hundred billion, four hundred fourteen million, four hundred forty-two thousand, four hundred one".