4567409340 has 192 divisors, whose sum is σ = 14040499200. Its totient is φ = 1102657536.

The previous prime is 4567409309. The next prime is 4567409401. The reversal of 4567409340 is 439047654.

It is a super-2 number, since 2×4567409340² = 41722456158238471200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4567409292 and 4567409301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11167056 + ... + 11167464.

It is an arithmetic number, because the mean of its divisors is an integer number (73127600).

Almost surely, 2^4567409340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4567409340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020249600).

4567409340 is an abundant number, since it is smaller than the sum of its proper divisors (9473089860).

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

4567409340 is a wasteful number, since it uses less digits than its factorization.

4567409340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4567409340 is about 67582.6112250777. The cubic root of 4567409340 is about 1659.1665313207.

The spelling of 4567409340 in words is "four billion, five hundred sixty-seven million, four hundred nine thousand, three hundred forty".