4270352486400 has 2496 divisors, whose sum is σ = 21076824330240. Its totient is φ = 818557747200.

The previous prime is 4270352486369. The next prime is 4270352486459. The reversal of 4270352486400 is 46842530724.

It is a happy number.

4270352486400 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 3 + 524 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2767564029 + ... + 2767565571.

Almost surely, 2^{4270352486400} is an apocalyptic number.

4270352486400 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 4270352486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538412165120).

4270352486400 is an abundant number, since it is smaller than the sum of its proper divisors (16806471843840).

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

4270352486400 is a wasteful number, since it uses less digits than its factorization.

4270352486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4270352486400 in words is "four trillion, two hundred seventy billion, three hundred fifty-two million, four hundred eighty-six thousand, four hundred".