4864153140 has 768 divisors, whose sum is σ = 20437401600. Its totient is φ = 930009600.

The previous prime is 4864153123. The next prime is 4864153157. The reversal of 4864153140 is 413514684.

4864153140 is a `hidden beast` number, since 4 + 8 + 641 + 5 + 3 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4864153123) and next prime (4864153157).

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

It is a junction number, because it is equal to n+sod(n) for n = 4864153095 and 4864153104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37130875 + ... + 37131005.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 2^4864153140 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 4864153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218700800).

4864153140 is an abundant number, since it is smaller than the sum of its proper divisors (15573248460).

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

4864153140 is a wasteful number, since it uses less digits than its factorization.

4864153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4864153140 is about 69743.4809856807. The cubic root of 4864153140 is about 1694.3472151498.

It can be divided in two parts, 486415 and 3140, that added together give a triangular number (489555 = T₉₈₉).

The spelling of 4864153140 in words is "four billion, eight hundred sixty-four million, one hundred fifty-three thousand, one hundred forty".