4952132640 has 1440 divisors, whose sum is σ = 24105755520. Its totient is φ = 931627008.

The previous prime is 4952132639. The next prime is 4952132641. The reversal of 4952132640 is 462312594.

It is a happy number.

4952132640 is a `hidden beast` number, since 4 + 9 + 5 + 2 + 1 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4952132639) and next prime (4952132641).

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 4952132595 and 4952132604.

It is not an unprimeable number, because it can be changed into a prime (4952132641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 260638551 + ... + 260638569.

It is an arithmetic number, because the mean of its divisors is an integer number (16740108).

Almost surely, 2^4952132640 is an apocalyptic number.

4952132640 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 4952132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052877760).

4952132640 is an abundant number, since it is smaller than the sum of its proper divisors (19153622880).

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

4952132640 is a wasteful number, since it uses less digits than its factorization.

4952132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4952132640 is about 70371.3907777870. The cubic root of 4952132640 is about 1704.5016376693.

The spelling of 4952132640 in words is "four billion, nine hundred fifty-two million, one hundred thirty-two thousand, six hundred forty".