4148136042800 has 30 divisors (see below), whose sum is σ = 9965896843788. Its totient is φ = 1659254416960.

The previous prime is 4148136042763. The next prime is 4148136042829. The reversal of 4148136042800 is 82406318414.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5185169654 + ... + 5185170453.

Almost surely, 2^{4148136042800} is an apocalyptic number.

4148136042800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4148136042800 is an abundant number, since it is smaller than the sum of its proper divisors (5817760800988).

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

4148136042800 is a wasteful number, since it uses less digits than its factorization.

4148136042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370340125 (or 10370340114 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 4148136042800 in words is "four trillion, one hundred forty-eight billion, one hundred thirty-six million, forty-two thousand, eight hundred".