4131513225440 has 96 divisors (see below), whose sum is σ = 9781482382560. Its totient is φ = 1649089880064.

The previous prime is 4131513225409. The next prime is 4131513225467. The reversal of 4131513225440 is 445223151314.

It is a super-3 number, since 3×4131513225440³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4131513225440.

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, 175819772 + ... + 175843268.

It is an arithmetic number, because the mean of its divisors is an integer number (101890441485).

Almost surely, 2^{4131513225440} is an apocalyptic number.

4131513225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131513225440 is an abundant number, since it is smaller than the sum of its proper divisors (5649969157120).

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

4131513225440 is a wasteful number, since it uses less digits than its factorization.

4131513225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25804 (or 25796 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 4131513225440 its reverse (445223151314), we get a palindrome (4576736376754).

The spelling of 4131513225440 in words is "four trillion, one hundred thirty-one billion, five hundred thirteen million, two hundred twenty-five thousand, four hundred forty".