1401414401412 has 36 divisors (see below), whose sum is σ = 3542508003580. Its totient is φ = 467132355072.

The previous prime is 1401414401407. The next prime is 1401414401417. The reversal of 1401414401412 is 2141044141041.

1401414401412 is a `hidden beast` number, since 1 + 40 + 1 + 41 + 440 + 141 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1401414401407) and next prime (1401414401417).

It can be written as a sum of positive squares in 2 ways, for example, as 742551017796 + 658863383616 = 861714^2 + 811704^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1401414401417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3510288 + ... + 3889080.

Almost surely, 2^{1401414401412} is an apocalyptic number.

1401414401412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1401414401412 is an abundant number, since it is smaller than the sum of its proper divisors (2141093602168).

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

1401414401412 is a wasteful number, since it uses less digits than its factorization.

1401414401412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481572 (or 481567 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1401414401412 its reverse (2141044141041), we get a palindrome (3542458542453).

The spelling of 1401414401412 in words is "one trillion, four hundred one billion, four hundred fourteen million, four hundred one thousand, four hundred twelve".