4913138258280 has 2304 divisors, whose sum is σ = 21740086368000. Its totient is φ = 988742909952.

The previous prime is 4913138258257. The next prime is 4913138258291. The reversal of 4913138258280 is 828528313194.

4913138258280 is a `hidden beast` number, since 4 + 9 + 131 + 382 + 58 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16768389814 + ... + 16768390106.

It is an arithmetic number, because the mean of its divisors is an integer number (9435801375).

Almost surely, 2^{4913138258280} is an apocalyptic number.

4913138258280 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 4913138258280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870043184000).

4913138258280 is an abundant number, since it is smaller than the sum of its proper divisors (16826948109720).

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

4913138258280 is a wasteful number, since it uses less digits than its factorization.

4913138258280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4913138258280 in words is "four trillion, nine hundred thirteen billion, one hundred thirty-eight million, two hundred fifty-eight thousand, two hundred eighty".