431128938240 has 2160 divisors, whose sum is σ = 2063148927840. Its totient is φ = 81935400960.

The previous prime is 431128938217. The next prime is 431128938263. The reversal of 431128938240 is 42839821134.

431128938240 is a `hidden beast` number, since 4 + 311 + 2 + 8 + 93 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (431128938217) and next prime (431128938263).

It is a super-2 number, since 2×431128938240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 3955311306 + ... + 3955311414.

Almost surely, 2^431128938240 is an apocalyptic number.

431128938240 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 431128938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031574463920).

431128938240 is an abundant number, since it is smaller than the sum of its proper divisors (1632019989600).

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

431128938240 is a wasteful number, since it uses less digits than its factorization.

431128938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 431128938240 in words is "four hundred thirty-one billion, one hundred twenty-eight million, nine hundred thirty-eight thousand, two hundred forty".