4901007513600 has 2304 divisors, whose sum is σ = 20865614515200. Its totient is φ = 1129896345600.

The previous prime is 4901007513547. The next prime is 4901007513607. The reversal of 4901007513600 is 63157001094.

4901007513600 is a `hidden beast` number, since 49 + 0 + 1 + 0 + 0 + 7 + 5 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901007513607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28329523114 + ... + 28329523286.

It is an arithmetic number, because the mean of its divisors is an integer number (9056256300).

Almost surely, 2^{4901007513600} is an apocalyptic number.

4901007513600 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 4901007513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432807257600).

4901007513600 is an abundant number, since it is smaller than the sum of its proper divisors (15964607001600).

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

4901007513600 is a wasteful number, since it uses less digits than its factorization.

4901007513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 4901007513600 in words is "four trillion, nine hundred one billion, seven million, five hundred thirteen thousand, six hundred".