4292870400000 has 3240 divisors, whose sum is σ = 20188193595570. Its totient is φ = 905748480000.

The previous prime is 4292870399999. The next prime is 4292870400017. The reversal of 4292870400000 is 40782924.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 3537890141184 + 754980258816 = 1880928^2 + 868896^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 330220799994 + ... + 330220800006.

Almost surely, 2^{4292870400000} is an apocalyptic number.

4292870400000 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 4292870400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094096797785).

4292870400000 is an abundant number, since it is smaller than the sum of its proper divisors (15895323195570).

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

4292870400000 is an frugal number, since it uses more digits than its factorization.

4292870400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4292870400000 in words is "four trillion, two hundred ninety-two billion, eight hundred seventy million, four hundred thousand".