4061439083520 has 1408 divisors, whose sum is σ = 17827568640000. Its totient is φ = 853879947264.

The previous prime is 4061439083519. The next prime is 4061439083531. The reversal of 4061439083520 is 253809341604.

4061439083520 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 43 + 9 + 0 + 83 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6277339837 + ... + 6277340483.

Almost surely, 2^{4061439083520} is an apocalyptic number.

4061439083520 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 4061439083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913784320000).

4061439083520 is an abundant number, since it is smaller than the sum of its proper divisors (13766129556480).

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

4061439083520 is a wasteful number, since it uses less digits than its factorization.

4061439083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4061439083520 in words is "four trillion, sixty-one billion, four hundred thirty-nine million, eighty-three thousand, five hundred twenty".