1030792151040 has 148 divisors (see below), whose sum is σ = 3298534883304. Its totient is φ = 274877906944.

The previous prime is 1030792151003. The next prime is 1030792151047. The reversal of 1030792151040 is 401512970301.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)³³.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1030792150992 and 1030792151010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030792151047) by changing a digit.

In principle, a polygon with 1030792151040 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206158430206 + ... + 206158430210.

Almost surely, 2^{1030792151040} is an apocalyptic number.

1030792151040 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 1030792151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649267441652).

1030792151040 is an abundant number, since it is smaller than the sum of its proper divisors (2267742732264).

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

1030792151040 is an frugal number, since it uses more digits than its factorization.

1030792151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 1030792151040 in words is "one trillion, thirty billion, seven hundred ninety-two million, one hundred fifty-one thousand, forty".