4084622640 has 400 divisors, whose sum is σ = 17170097472. Its totient is φ = 878542848.

The previous prime is 4084622629. The next prime is 4084622671. The reversal of 4084622640 is 462264804.

It is a happy number.

4084622640 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 6 + 2 + 2 + 640 = 666.

It is a super-2 number, since 2×4084622640² = 33368284222401139200, which contains 22 as substring.

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 = 4084622595 and 4084622604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 768472 + ... + 773768.

Almost surely, 2^4084622640 is an apocalyptic number.

4084622640 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 4084622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585048736).

4084622640 is an abundant number, since it is smaller than the sum of its proper divisors (13085474832).

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

4084622640 is a wasteful number, since it uses less digits than its factorization.

4084622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4084622640 is about 63911.0525652645. The cubic root of 4084622640 is about 1598.5171991547.

The spelling of 4084622640 in words is "four billion, eighty-four million, six hundred twenty-two thousand, six hundred forty".