3140435149920 has 288 divisors, whose sum is σ = 11121572367360. Its totient is φ = 836852497920.

The previous prime is 3140435149883. The next prime is 3140435149961. The reversal of 3140435149920 is 299415340413.

3140435149920 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 43 + 514 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55920255 + ... + 55976385.

It is an arithmetic number, because the mean of its divisors is an integer number (38616570720).

Almost surely, 2^{3140435149920} is an apocalyptic number.

3140435149920 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 3140435149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560786183680).

3140435149920 is an abundant number, since it is smaller than the sum of its proper divisors (7981137217440).

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

3140435149920 is a wasteful number, since it uses less digits than its factorization.

3140435149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57600 (or 57580 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3140435149920 in words is "three trillion, one hundred forty billion, four hundred thirty-five million, one hundred forty-nine thousand, nine hundred twenty".