3101240431440 has 160 divisors (see below), whose sum is σ = 10697293900800. Its totient is φ = 825817305600.

The previous prime is 3101240431433. The next prime is 3101240431451. The reversal of 3101240431440 is 441340421013.

3101240431440 is a `hidden beast` number, since 3 + 101 + 240 + 4 + 314 + 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 31 ways as a sum of consecutive naturals, for example, 490081 + ... + 2538239.

It is an arithmetic number, because the mean of its divisors is an integer number (66858086880).

Almost surely, 2^{3101240431440} is an apocalyptic number.

3101240431440 is a gapful number since it is divisible by the number (30) 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 3101240431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348646950400).

3101240431440 is an abundant number, since it is smaller than the sum of its proper divisors (7596053469360).

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

3101240431440 is a wasteful number, since it uses less digits than its factorization.

3101240431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048882 (or 2048870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3101240431440 its reverse (441340421013), we get a palindrome (3542580852453).

The spelling of 3101240431440 in words is "three trillion, one hundred one billion, two hundred forty million, four hundred thirty-one thousand, four hundred forty".