4840132812400 has 120 divisors (see below), whose sum is σ = 11917809425664. Its totient is φ = 1888162809600.

The previous prime is 4840132812397. The next prime is 4840132812407. The reversal of 4840132812400 is 42182310484.

It is a super-2 number, since 2×4840132812400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4840132812400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4840132812407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4865535 + ... + 5775265.

Almost surely, 2^{4840132812400} is an apocalyptic number.

4840132812400 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 4840132812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958904712832).

4840132812400 is an abundant number, since it is smaller than the sum of its proper divisors (7077676613264).

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

4840132812400 is a wasteful number, since it uses less digits than its factorization.

4840132812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910079 (or 910068 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 4840132812400 in words is "four trillion, eight hundred forty billion, one hundred thirty-two million, eight hundred twelve thousand, four hundred".