101431401240 has 256 divisors, whose sum is σ = 335707545600. Its totient is φ = 24361058304.

The previous prime is 101431401209. The next prime is 101431401263. The reversal of 101431401240 is 42104134101.

101431401240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25880001 + ... + 25883919.

It is an arithmetic number, because the mean of its divisors is an integer number (1311357600).

Almost surely, 2^101431401240 is an apocalyptic number.

101431401240 is a gapful number since it is divisible by the number (10) 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 101431401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167853772800).

101431401240 is an abundant number, since it is smaller than the sum of its proper divisors (234276144360).

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

101431401240 is a wasteful number, since it uses less digits than its factorization.

101431401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101431401240 its reverse (42104134101), we get a palindrome (143535535341).

The spelling of 101431401240 in words is "one hundred one billion, four hundred thirty-one million, four hundred one thousand, two hundred forty".