4667340033408 has 128 divisors (see below), whose sum is σ = 13365826387200. Its totient is φ = 1434540533760.

The previous prime is 4667340033361. The next prime is 4667340033409. The reversal of 4667340033408 is 8043300437664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4667340033409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078963 + ... + 5096333.

It is an arithmetic number, because the mean of its divisors is an integer number (104420518650).

Almost surely, 2^{4667340033408} is an apocalyptic number.

4667340033408 is a gapful number since it is divisible by the number (48) 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 4667340033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682913193600).

4667340033408 is an abundant number, since it is smaller than the sum of its proper divisors (8698486353792).

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

4667340033408 is a wasteful number, since it uses less digits than its factorization.

4667340033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018320 (or 1018308 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 4667340033408 in words is "four trillion, six hundred sixty-seven billion, three hundred forty million, thirty-three thousand, four hundred eight".