1024400031040 has 56 divisors (see below), whose sum is σ = 2441243064672. Its totient is φ = 409442449920.

The previous prime is 1024400031013. The next prime is 1024400031047. The reversal of 1024400031040 is 401300044201.

It is a junction number, because it is equal to n+sod(n) for n = 1024400030999 and 1024400031017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024400031047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826714 + ... + 1652953.

Almost surely, 2^{1024400031040} is an apocalyptic number.

1024400031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024400031040 is an abundant number, since it is smaller than the sum of its proper divisors (1416843033632).

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

1024400031040 is a wasteful number, since it uses less digits than its factorization.

1024400031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480975 (or 2480965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1024400031040 its reverse (401300044201), we get a palindrome (1425700075241).

The spelling of 1024400031040 in words is "one trillion, twenty-four billion, four hundred million, thirty-one thousand, forty".