201314298704400 has 1800 divisors, whose sum is σ = 849744919485000. Its totient is φ = 45508008591360.

The previous prime is 201314298704377. The next prime is 201314298704429. The reversal of 201314298704400 is 4407892413102.

201314298704400 is a `hidden beast` number, since 2 + 0 + 1 + 314 + 298 + 7 + 0 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 50504502649104 + 150809796055296 = 7106652^2 + 12280464^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 181527771046 + ... + 181527772154.

It is an arithmetic number, because the mean of its divisors is an integer number (472080510825).

Almost surely, 2^{201314298704400} is an apocalyptic number.

201314298704400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201314298704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424872459742500).

201314298704400 is an abundant number, since it is smaller than the sum of its proper divisors (648430620780600).

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

201314298704400 is a wasteful number, since it uses less digits than its factorization.

201314298704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 201314298704400 in words is "two hundred one trillion, three hundred fourteen billion, two hundred ninety-eight million, seven hundred four thousand, four hundred".