4202468524800 has 3456 divisors, whose sum is σ = 20193427537920. Its totient is φ = 831297945600.

The previous prime is 4202468524729. The next prime is 4202468524819. The reversal of 4202468524800 is 84258642024.

4202468524800 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 46 + 8 + 524 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×4202468524800³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18036345484 + ... + 18036345716.

Almost surely, 2^{4202468524800} is an apocalyptic number.

4202468524800 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 4202468524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096713768960).

4202468524800 is an abundant number, since it is smaller than the sum of its proper divisors (15990959013120).

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

4202468524800 is a wasteful number, since it uses less digits than its factorization.

4202468524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 4202468524800 in words is "four trillion, two hundred two billion, four hundred sixty-eight million, five hundred twenty-four thousand, eight hundred".