4024870539264 has 507 divisors, whose sum is σ = 12360430106643. Its totient is φ = 1310422966272.

The previous prime is 4024870539257. The next prime is 4024870539271. The reversal of 4024870539264 is 4629350784204.

It is a happy number.

The square root of 4024870539264 is 2006208.

It is a perfect power (a square), and thus also a powerful number.

4024870539264 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 87 + 0 + 539 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4024870539257) and next prime (4024870539271).

It is a super-3 number, since 3×4024870539264³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4024870539264.

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 38 ways as a sum of consecutive naturals, for example, 93601640427 + ... + 93601640469.

Almost surely, 2^{4024870539264} is an apocalyptic number.

4024870539264 is the 2006208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024870539264

4024870539264 is an abundant number, since it is smaller than the sum of its proper divisors (8335559567379).

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

4024870539264 is an frugal number, since it uses more digits than its factorization.

4024870539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4024870539264 in words is "four trillion, twenty-four billion, eight hundred seventy million, five hundred thirty-nine thousand, two hundred sixty-four".