4201557696 has 224 divisors, whose sum is σ = 14167104000. Its totient is φ = 1196135424.

The previous prime is 4201557677. The next prime is 4201557719. The reversal of 4201557696 is 6967551024.

4201557696 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 557 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5067810 + ... + 5068638.

It is an arithmetic number, because the mean of its divisors is an integer number (63246000).

Almost surely, 2^4201557696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083552000).

4201557696 is an abundant number, since it is smaller than the sum of its proper divisors (9965546304).

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

4201557696 is a wasteful number, since it uses less digits than its factorization.

4201557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4201557696 is about 64819.4237555380. The cubic root of 4201557696 is about 1613.6280841761.

The spelling of 4201557696 in words is "four billion, two hundred one million, five hundred fifty-seven thousand, six hundred ninety-six".