4207389600960 has 1792 divisors, whose sum is σ = 19118585364480. Its totient is φ = 847329361920.

The previous prime is 4207389600949. The next prime is 4207389600977. The reversal of 4207389600960 is 690069837024.

It is a happy number.

4207389600960 is a `hidden beast` number, since 4 + 20 + 7 + 3 + 8 + 9 + 600 + 9 + 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 = 4207389600897 and 4207389600906.

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, 1515083092 + ... + 1515085868.

It is an arithmetic number, because the mean of its divisors is an integer number (10668853440).

Almost surely, 2^{4207389600960} is an apocalyptic number.

4207389600960 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 4207389600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559292682240).

4207389600960 is an abundant number, since it is smaller than the sum of its proper divisors (14911195763520).

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

4207389600960 is a wasteful number, since it uses less digits than its factorization.

4207389600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4207389600960 in words is "four trillion, two hundred seven billion, three hundred eighty-nine million, six hundred thousand, nine hundred sixty".