148879424400 has 480 divisors, whose sum is σ = 588906950400. Its totient is φ = 32026337280.

The previous prime is 148879424381. The next prime is 148879424423. The reversal of 148879424400 is 4424978841.

148879424400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6986562 + ... + 7007838.

It is an arithmetic number, because the mean of its divisors is an integer number (1226889480).

Almost surely, 2^148879424400 is an apocalyptic number.

148879424400 is a gapful number since it is divisible by the number (10) 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 148879424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294453475200).

148879424400 is an abundant number, since it is smaller than the sum of its proper divisors (440027526000).

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

148879424400 is a wasteful number, since it uses less digits than its factorization.

148879424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21336 (or 21311 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 148879424400 in words is "one hundred forty-eight billion, eight hundred seventy-nine million, four hundred twenty-four thousand, four hundred".