4087679783040 has 1024 divisors, whose sum is σ = 16769324851200. Its totient is φ = 921773260800.

The previous prime is 4087679783029. The next prime is 4087679783051. The reversal of 4087679783040 is 403879767804.

4087679783040 is a `hidden beast` number, since 408 + 7 + 67 + 97 + 83 + 0 + 4 + 0 = 666.

4087679783040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4087679783029) and next prime (4087679783051).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2977187794 + ... + 2977189166.

It is an arithmetic number, because the mean of its divisors is an integer number (16376293800).

Almost surely, 2^{4087679783040} is an apocalyptic number.

4087679783040 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 4087679783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384662425600).

4087679783040 is an abundant number, since it is smaller than the sum of its proper divisors (12681645068160).

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

4087679783040 is a wasteful number, since it uses less digits than its factorization.

4087679783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 4087679783040 in words is "four trillion, eighty-seven billion, six hundred seventy-nine million, seven hundred eighty-three thousand, forty".