1361226071040 has 1056 divisors, whose sum is σ = 4951222026240. Its totient is φ = 318823464960.

The previous prime is 1361226070987. The next prime is 1361226071069. The reversal of 1361226071040 is 401706221631.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1361226070992 and 1361226071010.

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, 10718315457 + ... + 10718315583.

Almost surely, 2^{1361226071040} is an apocalyptic number.

1361226071040 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 1361226071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475611013120).

1361226071040 is an abundant number, since it is smaller than the sum of its proper divisors (3589995955200).

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

1361226071040 is a wasteful number, since it uses less digits than its factorization.

1361226071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 1361226071040 in words is "one trillion, three hundred sixty-one billion, two hundred twenty-six million, seventy-one thousand, forty".