4801251926016 has 1680 divisors, whose sum is σ = 18514671292656. Its totient is φ = 1228027723776.

The previous prime is 4801251925949. The next prime is 4801251926027. The reversal of 4801251926016 is 6106291521084.

4801251926016 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 25 + 19 + 2 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15639256935 + ... + 15639257241.

Almost surely, 2^{4801251926016} 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 4801251926016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257335646328).

4801251926016 is an abundant number, since it is smaller than the sum of its proper divisors (13713419366640).

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

4801251926016 is a wasteful number, since it uses less digits than its factorization.

4801251926016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4801251926016 in words is "four trillion, eight hundred one billion, two hundred fifty-one million, nine hundred twenty-six thousand, sixteen".