1781126807040 has 3200 divisors, whose sum is σ = 8470322150400. Its totient is φ = 347807416320.

The previous prime is 1781126807039. The next prime is 1781126807041. The reversal of 1781126807040 is 407086211871.

It is an interprime number because it is at equal distance from previous prime (1781126807039) and next prime (1781126807041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1781126807041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13596387775 + ... + 13596387905.

It is an arithmetic number, because the mean of its divisors is an integer number (2646975672).

Almost surely, 2^{1781126807040} is an apocalyptic number.

1781126807040 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 1781126807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235161075200).

1781126807040 is an abundant number, since it is smaller than the sum of its proper divisors (6689195343360).

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

1781126807040 is a wasteful number, since it uses less digits than its factorization.

1781126807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1781126807040 in words is "one trillion, seven hundred eighty-one billion, one hundred twenty-six million, eight hundred seven thousand, forty".