4606967040 has 432 divisors, whose sum is σ = 16518136320. Its totient is φ = 1092648960.

The previous prime is 4606967021. The next prime is 4606967059. The reversal of 4606967040 is 407696064.

It is an interprime number because it is at equal distance from previous prime (4606967021) and next prime (4606967059).

It is a super-3 number, since 3×4606967040³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4606966983 and 4606967001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20117646 + ... + 20117874.

Almost surely, 2^4606967040 is an apocalyptic number.

4606967040 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 4606967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259068160).

4606967040 is an abundant number, since it is smaller than the sum of its proper divisors (11911169280).

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

4606967040 is a wasteful number, since it uses less digits than its factorization.

4606967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 4606967040 is about 67874.6420985039. The cubic root of 4606967040 is about 1663.9427063607.

The spelling of 4606967040 in words is "four billion, six hundred six million, nine hundred sixty-seven thousand, forty".