201260425140 has 192 divisors, whose sum is σ = 650037830400. Its totient is φ = 51634533888.

The previous prime is 201260425123. The next prime is 201260425153. The reversal of 201260425140 is 41524062102.

201260425140 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 604 + 2 + 51 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4409074 + ... + 4454486.

It is an arithmetic number, because the mean of its divisors is an integer number (3385613700).

Almost surely, 2^201260425140 is an apocalyptic number.

201260425140 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 201260425140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325018915200).

201260425140 is an abundant number, since it is smaller than the sum of its proper divisors (448777405260).

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

201260425140 is a wasteful number, since it uses less digits than its factorization.

201260425140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45743 (or 45735 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 201260425140 its reverse (41524062102), we get a palindrome (242784487242).

The spelling of 201260425140 in words is "two hundred one billion, two hundred sixty million, four hundred twenty-five thousand, one hundred forty".