4207937582160 has 1280 divisors, whose sum is σ = 16693031577600. Its totient is φ = 966338740224.

The previous prime is 4207937582119. The next prime is 4207937582209. The reversal of 4207937582160 is 612857397024.

It is a happy number.

4207937582160 is a `hidden beast` number, since 4 + 20 + 7 + 9 + 37 + 582 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4207937582097 and 4207937582106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9207740652 + ... + 9207741108.

It is an arithmetic number, because the mean of its divisors is an integer number (13041430920).

It is a 1-persistent number, because it is pandigital, but 2⋅4207937582160 = 8415875164320 is not.

Almost surely, 2^{4207937582160} is an apocalyptic number.

4207937582160 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 4207937582160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346515788800).

4207937582160 is an abundant number, since it is smaller than the sum of its proper divisors (12485093995440).

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

4207937582160 is a wasteful number, since it uses less digits than its factorization.

4207937582160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4207937582160 in words is "four trillion, two hundred seven billion, nine hundred thirty-seven million, five hundred eighty-two thousand, one hundred sixty".