4296872966400 has 1512 divisors, whose sum is σ = 18366917150400. Its totient is φ = 974446018560.

The previous prime is 4296872966371. The next prime is 4296872966401. The reversal of 4296872966400 is 46692786924.

4296872966400 is a `hidden beast` number, since 4 + 2 + 96 + 87 + 2 + 9 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4296872966401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4866220359 + ... + 4866221241.

Almost surely, 2^{4296872966400} is an apocalyptic number.

4296872966400 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 4296872966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183458575200).

4296872966400 is an abundant number, since it is smaller than the sum of its proper divisors (14070044184000).

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

4296872966400 is an equidigital number, since it uses as much as digits as its factorization.

4296872966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 4296872966400 in words is "four trillion, two hundred ninety-six billion, eight hundred seventy-two million, nine hundred sixty-six thousand, four hundred".