4000683623040 has 480 divisors, whose sum is σ = 15470749453500. Its totient is φ = 984781504512.

The previous prime is 4000683623023. The next prime is 4000683623143. The reversal of 4000683623040 is 403263860004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1539525082176 + 2461158540864 = 1240776^2 + 1568808^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4000683622986 and 4000683623004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8532636 + ... + 8989284.

Almost surely, 2^{4000683623040} is an apocalyptic number.

4000683623040 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 4000683623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735374726750).

4000683623040 is an abundant number, since it is smaller than the sum of its proper divisors (11470065830460).

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

4000683623040 is a wasteful number, since it uses less digits than its factorization.

4000683623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456706 (or 456672 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4000683623040 in words is "four trillion, six hundred eighty-three million, six hundred twenty-three thousand, forty".