4006650839040 has 800 divisors, whose sum is σ = 14978697998400. Its totient is φ = 1014686023680.

The previous prime is 4006650838999. The next prime is 4006650839057. The reversal of 4006650839040 is 409380566004.

4006650839040 is a `hidden beast` number, since 40 + 0 + 66 + 508 + 3 + 9 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65682800610 + ... + 65682800670.

It is an arithmetic number, because the mean of its divisors is an integer number (18723372498).

Almost surely, 2^{4006650839040} is an apocalyptic number.

4006650839040 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 4006650839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489348999200).

4006650839040 is an abundant number, since it is smaller than the sum of its proper divisors (10972047159360).

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

4006650839040 is an frugal number, since it uses more digits than its factorization.

4006650839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 100 counting only the distinct ones).

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

The spelling of 4006650839040 in words is "four trillion, six billion, six hundred fifty million, eight hundred thirty-nine thousand, forty".