4862640742400 has 168 divisors, whose sum is σ = 13781276059440. Its totient is φ = 1667190620160.

The previous prime is 4862640742373. The next prime is 4862640742423. The reversal of 4862640742400 is 42470462684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262355 + ... + 3129554.

Almost surely, 2^{4862640742400} is an apocalyptic number.

4862640742400 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 4862640742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890638029720).

4862640742400 is an abundant number, since it is smaller than the sum of its proper divisors (8918635317040).

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

4862640742400 is an equidigital number, since it uses as much as digits as its factorization.

4862640742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391952 (or 3391923 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 47.

The spelling of 4862640742400 in words is "four trillion, eight hundred sixty-two billion, six hundred forty million, seven hundred forty-two thousand, four hundred".