4093948800 has 144 divisors (see below), whose sum is σ = 14608250280. Its totient is φ = 1091712000.

The previous prime is 4093948787. The next prime is 4093948813. The reversal of 4093948800 is 88493904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4093948787) and next prime (4093948813).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42276 + ... + 99875.

Almost surely, 2^4093948800 is an apocalyptic number.

4093948800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4093948800 is an abundant number, since it is smaller than the sum of its proper divisors (10514301480).

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

4093948800 is a wasteful number, since it uses less digits than its factorization.

4093948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142181 (or 142161 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4093948800 is about 63983.9729932426. The cubic root of 4093948800 is about 1599.7328720708.

The spelling of 4093948800 in words is "four billion, ninety-three million, nine hundred forty-eight thousand, eight hundred".