4195924886400 has 384 divisors, whose sum is σ = 15530545981440. Its totient is φ = 987936153600.

The previous prime is 4195924886369. The next prime is 4195924886431. The reversal of 4195924886400 is 46884295914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4195924886369) and next prime (4195924886431).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2139505 + ... + 3601295.

It is an arithmetic number, because the mean of its divisors is an integer number (40444130160).

Almost surely, 2^{4195924886400} is an apocalyptic number.

4195924886400 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 4195924886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765272990720).

4195924886400 is an abundant number, since it is smaller than the sum of its proper divisors (11334621095040).

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

4195924886400 is a wasteful number, since it uses less digits than its factorization.

4195924886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461854 (or 1461837 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 4195924886400 in words is "four trillion, one hundred ninety-five billion, nine hundred twenty-four million, eight hundred eighty-six thousand, four hundred".