4029890071680 has 1152 divisors, whose sum is σ = 16138405483200. Its totient is φ = 953753149440.

The previous prime is 4029890071657. The next prime is 4029890071717. The reversal of 4029890071680 is 861700989204.

4029890071680 is a `hidden beast` number, since 402 + 9 + 8 + 90 + 0 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1986144906 + ... + 1986146934.

Almost surely, 2^{4029890071680} is an apocalyptic number.

4029890071680 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 4029890071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069202741600).

4029890071680 is an abundant number, since it is smaller than the sum of its proper divisors (12108515411520).

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

4029890071680 is an equidigital number, since it uses as much as digits as its factorization.

4029890071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 4029890071680 in words is "four trillion, twenty-nine billion, eight hundred ninety million, seventy-one thousand, six hundred eighty".