1077411135384 has 192 divisors, whose sum is σ = 3087879537600. Its totient is φ = 338697216000.

The previous prime is 1077411135371. The next prime is 1077411135391. The reversal of 1077411135384 is 4835311147701.

1077411135384 is a `hidden beast` number, since 1 + 0 + 77 + 41 + 1 + 1 + 3 + 538 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40295332 + ... + 40322060.

It is an arithmetic number, because the mean of its divisors is an integer number (16082705925).

Almost surely, 2^{1077411135384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077411135384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543939768800).

1077411135384 is an abundant number, since it is smaller than the sum of its proper divisors (2010468402216).

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

1077411135384 is a wasteful number, since it uses less digits than its factorization.

1077411135384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27106 (or 27099 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1077411135384 in words is "one trillion, seventy-seven billion, four hundred eleven million, one hundred thirty-five thousand, three hundred eighty-four".