1303037060040 has 192 divisors, whose sum is σ = 4260624928560. Its totient is φ = 345366927360.

The previous prime is 1303037060011. The next prime is 1303037060123. The reversal of 1303037060040 is 400607303031.

It is a happy number.

1303037060040 is a `hidden beast` number, since 13 + 0 + 3 + 0 + 3 + 7 + 0 + 600 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1216604588004 + 86432472036 = 1102998^2 + 293994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1303037059986 and 1303037060013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75237462 + ... + 75254778.

Almost surely, 2^{1303037060040} is an apocalyptic number.

1303037060040 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 1303037060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130312464280).

1303037060040 is an abundant number, since it is smaller than the sum of its proper divisors (2957587868520).

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

1303037060040 is a wasteful number, since it uses less digits than its factorization.

1303037060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18592 (or 18585 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 1303037060040 in words is "one trillion, three hundred three billion, thirty-seven million, sixty thousand, forty".