4632250040 has 128 divisors (see below), whose sum is σ = 11925662400. Its totient is φ = 1603768320.

The previous prime is 4632250037. The next prime is 4632250061. The reversal of 4632250040 is 400522364.

It is a super-3 number, since 3×4632250040³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4632249991 and 4632250009.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 928994 + ... + 933966.

Almost surely, 2^4632250040 is an apocalyptic number.

4632250040 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 4632250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962831200).

4632250040 is an abundant number, since it is smaller than the sum of its proper divisors (7293412360).

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

4632250040 is a wasteful number, since it uses less digits than its factorization.

4632250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4632250040 is about 68060.6350249540. The cubic root of 4632250040 is about 1666.9810566028.

The spelling of 4632250040 in words is "four billion, six hundred thirty-two million, two hundred fifty thousand, forty".