201400103314410 has 1024 divisors, whose sum is σ = 669016870502400. Its totient is φ = 38236520448000.

The previous prime is 201400103314409. The next prime is 201400103314447. The reversal of 201400103314410 is 14413301004102.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 59922671130 + ... + 59922674490.

It is an arithmetic number, because the mean of its divisors is an integer number (653336787600).

Almost surely, 2^{201400103314410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201400103314410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334508435251200).

201400103314410 is an abundant number, since it is smaller than the sum of its proper divisors (467616767187990).

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

201400103314410 is a wasteful number, since it uses less digits than its factorization.

201400103314410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201400103314410 its reverse (14413301004102), we get a palindrome (215813404318512).

The spelling of 201400103314410 in words is "two hundred one trillion, four hundred billion, one hundred three million, three hundred fourteen thousand, four hundred ten".