3940298524800 has 480 divisors, whose sum is σ = 15862449358800. Its totient is φ = 955223193600.

The previous prime is 3940298524727. The next prime is 3940298524801. The reversal of 3940298524800 is 84258920493.

3940298524800 is a `hidden beast` number, since 3 + 94 + 0 + 29 + 8 + 52 + 480 + 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 not an unprimeable number, because it can be changed into a prime (3940298524801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2160211 + ... + 3542189.

Almost surely, 2^{3940298524800} is an apocalyptic number.

3940298524800 is a gapful number since it is divisible by the number (30) 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 3940298524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931224679400).

3940298524800 is an abundant number, since it is smaller than the sum of its proper divisors (11922150834000).

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

3940298524800 is a wasteful number, since it uses less digits than its factorization.

3940298524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382026 (or 1382000 counting only the distinct ones).

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

The spelling of 3940298524800 in words is "three trillion, nine hundred forty billion, two hundred ninety-eight million, five hundred twenty-four thousand, eight hundred".