4006862640 has 400 divisors, whose sum is σ = 15426512640. Its totient is φ = 955722240.

The previous prime is 4006862627. The next prime is 4006862669. The reversal of 4006862640 is 462686004.

It is a happy number.

4006862640 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 8 + 6 + 2 + 640 = 666.

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 = 4006862595 and 4006862604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4775341 + ... + 4776179.

Almost surely, 2^4006862640 is an apocalyptic number.

4006862640 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 4006862640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713256320).

4006862640 is an abundant number, since it is smaller than the sum of its proper divisors (11419650000).

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

4006862640 is a wasteful number, since it uses less digits than its factorization.

4006862640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4006862640 is about 63299.7838858870. The cubic root of 4006862640 is about 1588.3083467923.

The spelling of 4006862640 in words is "four billion, six million, eight hundred sixty-two thousand, six hundred forty".