201401431040 has 176 divisors, whose sum is σ = 497944900992. Its totient is φ = 78105378816.

The previous prime is 201401431039. The next prime is 201401431081. The reversal of 201401431040 is 40134104102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58156349 + ... + 58159811.

It is an arithmetic number, because the mean of its divisors is an integer number (2829232392).

Almost surely, 2^201401431040 is an apocalyptic number.

201401431040 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 201401431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248972450496).

201401431040 is an abundant number, since it is smaller than the sum of its proper divisors (296543469952).

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

201401431040 is a wasteful number, since it uses less digits than its factorization.

201401431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201401431040 its reverse (40134104102), we get a palindrome (241535535142).

The spelling of 201401431040 in words is "two hundred one billion, four hundred one million, four hundred thirty-one thousand, forty".