4672907044100 has 18 divisors (see below), whose sum is σ = 10140208285914. Its totient is φ = 1869162817600.

The previous prime is 4672907044097. The next prime is 4672907044103. The reversal of 4672907044100 is 14407092764.

It is an interprime number because it is at equal distance from previous prime (4672907044097) and next prime (4672907044103).

It can be written as a sum of positive squares in 3 ways, for example, as 1032381987844 + 3640525056256 = 1016062^2 + 1908016^2 .

It is not an unprimeable number, because it can be changed into a prime (4672907044103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23364535121 + ... + 23364535320.

It is an arithmetic number, because the mean of its divisors is an integer number (563344904773).

Almost surely, 2^{4672907044100} is an apocalyptic number.

It is an amenable number.

4672907044100 is an abundant number, since it is smaller than the sum of its proper divisors (5467301241814).

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

4672907044100 is a wasteful number, since it uses less digits than its factorization.

4672907044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46729070455 (or 46729070448 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 4672907044100 in words is "four trillion, six hundred seventy-two billion, nine hundred seven million, forty-four thousand, one hundred".