1031934881040 has 1280 divisors, whose sum is σ = 4108297052160. Its totient is φ = 209018880000.

The previous prime is 1031934881023. The next prime is 1031934881041. The reversal of 1031934881040 is 401884391301.

It is a happy number.

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 = 1031934880983 and 1031934881001.

It is not an unprimeable number, because it can be changed into a prime (1031934881041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4890686535 + ... + 4890686745.

It is an arithmetic number, because the mean of its divisors is an integer number (3209607072).

Almost surely, 2^{1031934881040} is an apocalyptic number.

1031934881040 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 1031934881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054148526080).

1031934881040 is an abundant number, since it is smaller than the sum of its proper divisors (3076362171120).

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

1031934881040 is a wasteful number, since it uses less digits than its factorization.

1031934881040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1031934881040 in words is "one trillion, thirty-one billion, nine hundred thirty-four million, eight hundred eighty-one thousand, forty".