4195601280 has 512 divisors, whose sum is σ = 16861824000. Its totient is φ = 977412096.

The previous prime is 4195601269. The next prime is 4195601323. The reversal of 4195601280 is 821065914.

4195601280 is a `hidden beast` number, since 4 + 1 + 9 + 560 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4267669 + ... + 4268651.

It is an arithmetic number, because the mean of its divisors is an integer number (32933250).

Almost surely, 2^4195601280 is an apocalyptic number.

4195601280 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 4195601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430912000).

4195601280 is an abundant number, since it is smaller than the sum of its proper divisors (12666222720).

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

4195601280 is a wasteful number, since it uses less digits than its factorization.

4195601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4195601280 is about 64773.4612322053. The cubic root of 4195601280 is about 1612.8651936515.

The spelling of 4195601280 in words is "four billion, one hundred ninety-five million, six hundred one thousand, two hundred eighty".