1135119363840 has 1152 divisors, whose sum is σ = 5052218572800. Its totient is φ = 234452828160.

The previous prime is 1135119363827. The next prime is 1135119363857. The reversal of 1135119363840 is 483639115311.

1135119363840 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 1 + 9 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 476339289 + ... + 476341671.

It is an arithmetic number, because the mean of its divisors is an integer number (4385606400).

Almost surely, 2^{1135119363840} is an apocalyptic number.

1135119363840 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 1135119363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526109286400).

1135119363840 is an abundant number, since it is smaller than the sum of its proper divisors (3917099208960).

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

1135119363840 is a wasteful number, since it uses less digits than its factorization.

1135119363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1135119363840 in words is "one trillion, one hundred thirty-five billion, one hundred nineteen million, three hundred sixty-three thousand, eight hundred forty".