4801204679040 has 1280 divisors, whose sum is σ = 21813941952000. Its totient is φ = 997612277760.

The previous prime is 4801204679017. The next prime is 4801204679053. The reversal of 4801204679040 is 409764021084.

4801204679040 is a `hidden beast` number, since 4 + 80 + 1 + 20 + 467 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 195580047 + ... + 195604593.

It is an arithmetic number, because the mean of its divisors is an integer number (17042142150).

Almost surely, 2^{4801204679040} is an apocalyptic number.

4801204679040 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 4801204679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906970976000).

4801204679040 is an abundant number, since it is smaller than the sum of its proper divisors (17012737272960).

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

4801204679040 is a wasteful number, since it uses less digits than its factorization.

4801204679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24575 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4801204679040 in words is "four trillion, eight hundred one billion, two hundred four million, six hundred seventy-nine thousand, forty".