1326131735040 has 960 divisors, whose sum is σ = 5671629849600. Its totient is φ = 285256581120.

The previous prime is 1326131735011. The next prime is 1326131735101. The reversal of 1326131735040 is 405371316231.

1326131735040 is a `hidden beast` number, since 1 + 3 + 2 + 613 + 1 + 7 + 35 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1326131734986 and 1326131735004.

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, 134341305 + ... + 134351175.

It is an arithmetic number, because the mean of its divisors is an integer number (5907947760).

Almost surely, 2^{1326131735040} is an apocalyptic number.

1326131735040 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 1326131735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835814924800).

1326131735040 is an abundant number, since it is smaller than the sum of its proper divisors (4345498114560).

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

1326131735040 is an equidigital number, since it uses as much as digits as its factorization.

1326131735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1326131735040 in words is "one trillion, three hundred twenty-six billion, one hundred thirty-one million, seven hundred thirty-five thousand, forty".