4149080023680 has 192 divisors, whose sum is σ = 14331584517120. Its totient is φ = 1106089850880.

The previous prime is 4149080023567. The next prime is 4149080023691. The reversal of 4149080023680 is 863200809414.

It is a happy number.

4149080023680 is a `hidden beast` number, since 4 + 1 + 490 + 80 + 0 + 2 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19425949 + ... + 19638371.

It is an arithmetic number, because the mean of its divisors is an integer number (74643669360).

Almost surely, 2^{4149080023680} is an apocalyptic number.

4149080023680 is a gapful number since it is divisible by the number (40) 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 4149080023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165792258560).

4149080023680 is an abundant number, since it is smaller than the sum of its proper divisors (10182504493440).

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

4149080023680 is a wasteful number, since it uses less digits than its factorization.

4149080023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215839 (or 215824 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4149080023680 in words is "four trillion, one hundred forty-nine billion, eighty million, twenty-three thousand, six hundred eighty".