4002406224640 has 72 divisors (see below), whose sum is σ = 9589908899088. Its totient is φ = 1600479006720.

The previous prime is 4002406224623. The next prime is 4002406224671. The reversal of 4002406224640 is 464226042004.

It is a junction number, because it is equal to n+sod(n) for n = 4002406224596 and 4002406224605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3782950 + ... + 4723930.

It is an arithmetic number, because the mean of its divisors is an integer number (133193179154).

Almost surely, 2^{4002406224640} is an apocalyptic number.

4002406224640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002406224640 is an abundant number, since it is smaller than the sum of its proper divisors (5587502674448).

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

4002406224640 is an equidigital number, since it uses as much as digits as its factorization.

4002406224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944325 (or 944311 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 4002406224640 in words is "four trillion, two billion, four hundred six million, two hundred twenty-four thousand, six hundred forty".