4021766640 has 240 divisors, whose sum is σ = 14068349568. Its totient is φ = 1067758848.

The previous prime is 4021766627. The next prime is 4021766659. The reversal of 4021766640 is 466671204.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4021766595 and 4021766604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8611687 + ... + 8612153.

Almost surely, 2^4021766640 is an apocalyptic number.

4021766640 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 4021766640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034174784).

4021766640 is an abundant number, since it is smaller than the sum of its proper divisors (10046582928).

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

4021766640 is a wasteful number, since it uses less digits than its factorization.

4021766640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4021766640 is about 63417.4001359248. The cubic root of 4021766640 is about 1590.2752104605.

It can be divided in two parts, 4021 and 766640, that added together give a triangular number (770661 = T₁₂₄₁).

The spelling of 4021766640 in words is "four billion, twenty-one million, seven hundred sixty-six thousand, six hundred forty".