1024138431 has 16 divisors (see below), whose sum is σ = 1528322400. Its totient is φ = 677772864.

The previous prime is 1024138403. The next prime is 1024138433. The reversal of 1024138431 is 1348314201.

1024138431 is a `hidden beast` number, since 10 + 241 + 384 + 31 = 666.

It is not a de Polignac number, because 1024138431 - 2¹¹ = 1024136383 is a prime.

It is a super-2 number, since 2×1024138431² = 2097719051702283522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1024138395 and 1024138404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024138433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134736 + ... + 142133.

It is an arithmetic number, because the mean of its divisors is an integer number (95520150).

Almost surely, 2^1024138431 is an apocalyptic number.

1024138431 is a deficient number, since it is larger than the sum of its proper divisors (504183969).

1024138431 is a wasteful number, since it uses less digits than its factorization.

1024138431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277015 (or 277009 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1024138431 is about 32002.1629112784. The cubic root of 1024138431 is about 1007.9822576951.

The spelling of 1024138431 in words is "one billion, twenty-four million, one hundred thirty-eight thousand, four hundred thirty-one".