201431102400 has 336 divisors, whose sum is σ = 801046586880. Its totient is φ = 48831667200.

The previous prime is 201431102399. The next prime is 201431102459. The reversal of 201431102400 is 4201134102.

201431102400 is a `hidden beast` number, since 20 + 143 + 1 + 102 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263257 + ... + 687143.

Almost surely, 2^201431102400 is an apocalyptic number.

201431102400 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 201431102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400523293440).

201431102400 is an abundant number, since it is smaller than the sum of its proper divisors (599615484480).

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

201431102400 is a wasteful number, since it uses less digits than its factorization.

201431102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423929 (or 423908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201431102400 its reverse (4201134102), we get a palindrome (205632236502).

The spelling of 201431102400 in words is "two hundred one billion, four hundred thirty-one million, one hundred two thousand, four hundred".