4820414047008 has 96 divisors (see below), whose sum is σ = 14797550186496. Its totient is φ = 1345231819008.

The previous prime is 4820414047003. The next prime is 4820414047027. The reversal of 4820414047008 is 8007404140284.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (4820414047003) 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, 83380816 + ... + 83438607.

It is an arithmetic number, because the mean of its divisors is an integer number (154141147776).

Almost surely, 2^{4820414047008} is an apocalyptic number.

4820414047008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4820414047008 is an abundant number, since it is smaller than the sum of its proper divisors (9977136139488).

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

4820414047008 is a wasteful number, since it uses less digits than its factorization.

4820414047008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166819486 (or 166819478 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 4820414047008 in words is "four trillion, eight hundred twenty billion, four hundred fourteen million, forty-seven thousand, eight".