1031047967040 has 896 divisors, whose sum is σ = 4340074217472. Its totient is φ = 201357066240.

The previous prime is 1031047966999. The next prime is 1031047967041. The reversal of 1031047967040 is 407697401301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1031047966983 and 1031047967001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031047967041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62279404 + ... + 62295956.

It is an arithmetic number, because the mean of its divisors is an integer number (4843832832).

Almost surely, 2^{1031047967040} is an apocalyptic number.

1031047967040 is a gapful number since it is divisible by the number (10) 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 1031047967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170037108736).

1031047967040 is an abundant number, since it is smaller than the sum of its proper divisors (3309026250432).

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

1031047967040 is a wasteful number, since it uses less digits than its factorization.

1031047967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16647 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 1031047967040 in words is "one trillion, thirty-one billion, forty-seven million, nine hundred sixty-seven thousand, forty".