4801139291520 has 1536 divisors, whose sum is σ = 20264283043200. Its totient is φ = 1067124326400.

The previous prime is 4801139291519. The next prime is 4801139291549. The reversal of 4801139291520 is 251929311084.

4801139291520 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 1 + 39 + 2 + 91 + 520 = 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 191 ways as a sum of consecutive naturals, for example, 4702388610 + ... + 4702389630.

Almost surely, 2^{4801139291520} is an apocalyptic number.

4801139291520 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 4801139291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132141521600).

4801139291520 is an abundant number, since it is smaller than the sum of its proper divisors (15463143751680).

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

4801139291520 is a wasteful number, since it uses less digits than its factorization.

4801139291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 4801139291520 in words is "four trillion, eight hundred one billion, one hundred thirty-nine million, two hundred ninety-one thousand, five hundred twenty".