4149677612340 has 768 divisors, whose sum is σ = 15628419072000. Its totient is φ = 904163420160.

The previous prime is 4149677612323. The next prime is 4149677612407. The reversal of 4149677612340 is 432167769414.

4149677612340 is a `hidden beast` number, since 4 + 1 + 496 + 77 + 61 + 23 + 4 + 0 = 666.

4149677612340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119891317 + ... + 119925923.

It is an arithmetic number, because the mean of its divisors is an integer number (20349504000).

Almost surely, 2^{4149677612340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149677612340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814209536000).

4149677612340 is an abundant number, since it is smaller than the sum of its proper divisors (11478741459660).

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

4149677612340 is a wasteful number, since it uses less digits than its factorization.

4149677612340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34717 (or 34709 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4149677612340 in words is "four trillion, one hundred forty-nine billion, six hundred seventy-seven million, six hundred twelve thousand, three hundred forty".