4204101456 has 120 divisors (see below), whose sum is σ = 12345082880. Its totient is φ = 1333843200.

The previous prime is 4204101413. The next prime is 4204101497. The reversal of 4204101456 is 6541014024.

4204101456 is a `hidden beast` number, since 4 + 204 + 1 + 0 + 1 + 456 = 666.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264585 + ... + 280023.

Almost surely, 2^4204101456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204101456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172541440).

4204101456 is an abundant number, since it is smaller than the sum of its proper divisors (8140981424).

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

4204101456 is a wasteful number, since it uses less digits than its factorization.

4204101456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15545 (or 15536 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4204101456 is about 64839.0426826307. The cubic root of 4204101456 is about 1613.9536661611.

The spelling of 4204101456 in words is "four billion, two hundred four million, one hundred one thousand, four hundred fifty-six".