4148239415040 has 432 divisors, whose sum is σ = 16647670061568. Its totient is φ = 934016016384.

The previous prime is 4148239415027. The next prime is 4148239415041. The reversal of 4148239415040 is 405149328414.

4148239415040 is a `hidden beast` number, since 41 + 48 + 23 + 9 + 41 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148239415041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5018989 + ... + 5786771.

Almost surely, 2^{4148239415040} is an apocalyptic number.

4148239415040 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 4148239415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323835030784).

4148239415040 is an abundant number, since it is smaller than the sum of its proper divisors (12499430646528).

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

4148239415040 is a wasteful number, since it uses less digits than its factorization.

4148239415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767884 (or 767867 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4148239415040 in words is "four trillion, one hundred forty-eight billion, two hundred thirty-nine million, four hundred fifteen thousand, forty".