10769841311040 has 2240 divisors, whose sum is σ = 48217285214208. Its totient is φ = 2225155276800.

The previous prime is 10769841311003. The next prime is 10769841311113. The reversal of 10769841311040 is 4011314896701.

10769841311040 is a `hidden beast` number, since 10 + 76 + 9 + 8 + 413 + 110 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15585877095 + ... + 15585877785.

Almost surely, 2^{10769841311040} is an apocalyptic number.

10769841311040 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 10769841311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24108642607104).

10769841311040 is an abundant number, since it is smaller than the sum of its proper divisors (37447443903168).

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

10769841311040 is a wasteful number, since it uses less digits than its factorization.

10769841311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10769841311040 in words is "ten trillion, seven hundred sixty-nine billion, eight hundred forty-one million, three hundred eleven thousand, forty".