201403241313400 has 192 divisors, whose sum is σ = 558527446241280. Its totient is φ = 66038124979200.

The previous prime is 201403241313353. The next prime is 201403241313409. The reversal of 201403241313400 is 4313142304102.

It is a happy number.

It is a super-2 number, since 2×201403241313400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201403241313409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175594572 + ... + 176737828.

It is an arithmetic number, because the mean of its divisors is an integer number (2908997115840).

Almost surely, 2^{201403241313400} is an apocalyptic number.

201403241313400 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 201403241313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279263723120640).

201403241313400 is an abundant number, since it is smaller than the sum of its proper divisors (357124204927880).

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

201403241313400 is a wasteful number, since it uses less digits than its factorization.

201403241313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148774 (or 1148765 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 201403241313400 its reverse (4313142304102), we get a palindrome (205716383617502).

The spelling of 201403241313400 in words is "two hundred one trillion, four hundred three billion, two hundred forty-one million, three hundred thirteen thousand, four hundred".