1031428484352 has 504 divisors, whose sum is σ = 3641748687360. Its totient is φ = 285176401920.

The previous prime is 1031428484299. The next prime is 1031428484371. The reversal of 1031428484352 is 2534848241301.

1031428484352 is a `hidden beast` number, since 1 + 0 + 3 + 14 + 284 + 8 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 1031428484298 and 1031428484307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40484674 + ... + 40510142.

It is an arithmetic number, because the mean of its divisors is an integer number (7225691840).

Almost surely, 2^{1031428484352} is an apocalyptic number.

1031428484352 is a gapful number since it is divisible by the number (12) 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 1031428484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820874343680).

1031428484352 is an abundant number, since it is smaller than the sum of its proper divisors (2610320203008).

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

1031428484352 is an frugal number, since it uses more digits than its factorization.

1031428484352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25541 (or 25512 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1031428484352 in words is "one trillion, thirty-one billion, four hundred twenty-eight million, four hundred eighty-four thousand, three hundred fifty-two".