207046130400 has 144 divisors (see below), whose sum is σ = 748816916400. Its totient is φ = 55212295680.

The previous prime is 207046130371. The next prime is 207046130407. The reversal of 207046130400 is 4031640702.

207046130400 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 4 + 613 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×207046130400² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (207046130407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4771135 + ... + 4814334.

It is an arithmetic number, because the mean of its divisors is an integer number (5200117475).

Almost surely, 2^207046130400 is an apocalyptic number.

207046130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

207046130400 is an abundant number, since it is smaller than the sum of its proper divisors (541770786000).

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

207046130400 is a wasteful number, since it uses less digits than its factorization.

207046130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585498 (or 9585479 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 207046130400 in words is "two hundred seven billion, forty-six million, one hundred thirty thousand, four hundred".