3148131018240 has 960 divisors, whose sum is σ = 12245575358016. Its totient is φ = 770527199232.

The previous prime is 3148131018191. The next prime is 3148131018271. The reversal of 3148131018240 is 428101318413.

3148131018240 is a `hidden beast` number, since 3 + 14 + 81 + 310 + 18 + 240 = 666.

3148131018240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3148131018195 and 3148131018204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560797712 + ... + 1560799728.

Almost surely, 2^{3148131018240} is an apocalyptic number.

3148131018240 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 3148131018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122787679008).

3148131018240 is an abundant number, since it is smaller than the sum of its proper divisors (9097444339776).

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

3148131018240 is a wasteful number, since it uses less digits than its factorization.

3148131018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 3148131018240 in words is "three trillion, one hundred forty-eight billion, one hundred thirty-one million, eighteen thousand, two hundred forty".