5040121632 has 384 divisors, whose sum is σ = 16889241600. Its totient is φ = 1280987136.

The previous prime is 5040121627. The next prime is 5040121637. The reversal of 5040121632 is 2361210405.

It is an interprime number because it is at equal distance from previous prime (5040121627) and next prime (5040121637).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5040121637) 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 63 ways as a sum of consecutive naturals, for example, 46239594 + ... + 46239702.

It is an arithmetic number, because the mean of its divisors is an integer number (43982400).

Almost surely, 2^5040121632 is an apocalyptic number.

5040121632 is a gapful number since it is divisible by the number (52) 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 5040121632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444620800).

5040121632 is an abundant number, since it is smaller than the sum of its proper divisors (11849119968).

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

5040121632 is a wasteful number, since it uses less digits than its factorization.

5040121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5040121632 is about 70993.8140403796. The cubic root of 5040121632 is about 1714.5375687430.

The spelling of 5040121632 in words is "five billion, forty million, one hundred twenty-one thousand, six hundred thirty-two".