4800148502400 has 576 divisors, whose sum is σ = 18253116011520. Its totient is φ = 1198327173120.

The previous prime is 4800148502327. The next prime is 4800148502407. The reversal of 4800148502400 is 42058410084.

4800148502400 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 148 + 502 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (4800148502407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31055709 + ... + 31209891.

It is an arithmetic number, because the mean of its divisors is an integer number (31689437520).

Almost surely, 2^{4800148502400} is an apocalyptic number.

4800148502400 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 4800148502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126558005760).

4800148502400 is an abundant number, since it is smaller than the sum of its proper divisors (13452967509120).

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

4800148502400 is a wasteful number, since it uses less digits than its factorization.

4800148502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154283 (or 154263 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 4800148502400 in words is "four trillion, eight hundred billion, one hundred forty-eight million, five hundred two thousand, four hundred".