4045893948000 has 480 divisors, whose sum is σ = 15328842617088. Its totient is φ = 1044099072000.

The previous prime is 4045893947971. The next prime is 4045893948017. The reversal of 4045893948000 is 8493985404.

4045893948000 is a `hidden beast` number, since 40 + 45 + 89 + 3 + 9 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9842592 + ... + 10245408.

Almost surely, 2^{4045893948000} is an apocalyptic number.

4045893948000 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 4045893948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664421308544).

4045893948000 is an abundant number, since it is smaller than the sum of its proper divisors (11282948669088).

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

4045893948000 is a wasteful number, since it uses less digits than its factorization.

4045893948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402885 (or 402858 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4045893948000 in words is "four trillion, forty-five billion, eight hundred ninety-three million, nine hundred forty-eight thousand".