4702040064000 has 2048 divisors, whose sum is σ = 19167760684800. Its totient is φ = 1132462080000.

The previous prime is 4702040063957. The next prime is 4702040064011. The reversal of 4702040064000 is 4600402074.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×4702040064000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77082623970 + ... + 77082624030.

Almost surely, 2^{4702040064000} is an apocalyptic number.

4702040064000 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 4702040064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583880342400).

4702040064000 is an abundant number, since it is smaller than the sum of its proper divisors (14465720620800).

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

4702040064000 is an equidigital number, since it uses as much as digits as its factorization.

4702040064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 4702040064000 its reverse (4600402074), we get a palindrome (4706640466074).

The spelling of 4702040064000 in words is "four trillion, seven hundred two billion, forty million, sixty-four thousand".