4614400498752 has 1792 divisors, whose sum is σ = 16860962488320. Its totient is φ = 1246499020800.

The previous prime is 4614400498681. The next prime is 4614400498753. The reversal of 4614400498752 is 2578940044164.

4614400498752 is a `hidden beast` number, since 4 + 6 + 144 + 0 + 0 + 498 + 7 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4614400498753) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 98178733993 + ... + 98178734039.

Almost surely, 2^{4614400498752} 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 4614400498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430481244160).

4614400498752 is an abundant number, since it is smaller than the sum of its proper divisors (12246561989568).

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

4614400498752 is an equidigital number, since it uses as much as digits as its factorization.

4614400498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4614400498752 in words is "four trillion, six hundred fourteen billion, four hundred million, four hundred ninety-eight thousand, seven hundred fifty-two".