4122944640 has 96 divisors (see below), whose sum is σ = 14237063100. Its totient is φ = 1099450368.

The previous prime is 4122944599. The next prime is 4122944663. The reversal of 4122944640 is 464492214.

It is a happy number.

4122944640 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 9 + 4 + 4 + 640 = 666.

4122944640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3825175104 + 297769536 = 61848^2 + 17256^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4122944595 and 4122944604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352135 + ... + 363654.

Almost surely, 2^4122944640 is an apocalyptic number.

4122944640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122944640 is an abundant number, since it is smaller than the sum of its proper divisors (10114118460).

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

4122944640 is a wasteful number, since it uses less digits than its factorization.

4122944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715814 (or 715799 counting only the distinct ones).

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

The square root of 4122944640 is about 64210.1599437348. The cubic root of 4122944640 is about 1603.5007515420.

The spelling of 4122944640 in words is "four billion, one hundred twenty-two million, nine hundred forty-four thousand, six hundred forty".