1036140259776 has 112 divisors (see below), whose sum is σ = 2861230654464. Its totient is φ = 330296288256.

The previous prime is 1036140259769. The next prime is 1036140259801. The reversal of 1036140259776 is 6779520416301.

1036140259776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036140259776³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24518601 + ... + 24560823.

It is an arithmetic number, because the mean of its divisors is an integer number (25546702272).

Almost surely, 2^{1036140259776} is an apocalyptic number.

1036140259776 is a gapful number since it is divisible by the number (16) 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 1036140259776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430615327232).

1036140259776 is an abundant number, since it is smaller than the sum of its proper divisors (1825090394688).

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

1036140259776 is a wasteful number, since it uses less digits than its factorization.

1036140259776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47818 (or 47808 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 1036140259776 in words is "one trillion, thirty-six billion, one hundred forty million, two hundred fifty-nine thousand, seven hundred seventy-six".