1293919535040 has 672 divisors, whose sum is σ = 4882983782400. Its totient is φ = 287555788800.

The previous prime is 1293919535033. The next prime is 1293919535101. The reversal of 1293919535040 is 405359193921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118171486 + ... + 118182434.

Almost surely, 2^{1293919535040} is an apocalyptic number.

1293919535040 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 1293919535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441491891200).

1293919535040 is an abundant number, since it is smaller than the sum of its proper divisors (3589064247360).

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

1293919535040 is a wasteful number, since it uses less digits than its factorization.

1293919535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 1293919535040 in words is "one trillion, two hundred ninety-three billion, nine hundred nineteen million, five hundred thirty-five thousand, forty".