540101404312431 has 32 divisors (see below), whose sum is σ = 794260960711680. Its totient is φ = 324425821449600.

The previous prime is 540101404312409. The next prime is 540101404312433. The reversal of 540101404312431 is 134213404101045.

It is not a de Polignac number, because 540101404312431 - 2⁹ = 540101404311919 is a prime.

It is a super-2 number, since 2×540101404312431² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540101404312392 and 540101404312401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101404312433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866210311 + ... + 866833608.

It is an arithmetic number, because the mean of its divisors is an integer number (24820655022240).

Almost surely, 2^{540101404312431} is an apocalyptic number.

540101404312431 is a deficient number, since it is larger than the sum of its proper divisors (254159556399249).

540101404312431 is a wasteful number, since it uses less digits than its factorization.

540101404312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733044127.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 540101404312431 its reverse (134213404101045), we get a palindrome (674314808413476).

The spelling of 540101404312431 in words is "five hundred forty trillion, one hundred one billion, four hundred four million, three hundred twelve thousand, four hundred thirty-one".