4148693640 has 320 divisors, whose sum is σ = 17163336960. Its totient is φ = 875266560.

The previous prime is 4148693599. The next prime is 4148693669. The reversal of 4148693640 is 463968414.

4148693640 is a `hidden beast` number, since 41 + 486 + 93 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287805 + ... + 301875.

It is an arithmetic number, because the mean of its divisors is an integer number (53635428).

Almost surely, 2^4148693640 is an apocalyptic number.

4148693640 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 4148693640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581668480).

4148693640 is an abundant number, since it is smaller than the sum of its proper divisors (13014643320).

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

4148693640 is a wasteful number, since it uses less digits than its factorization.

4148693640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14101 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4148693640 is about 64410.3535155646. The cubic root of 4148693640 is about 1606.8319374149.

The spelling of 4148693640 in words is "four billion, one hundred forty-eight million, six hundred ninety-three thousand, six hundred forty".