1135740182400 has 384 divisors, whose sum is σ = 4226961600000. Its totient is φ = 297729423360.

The previous prime is 1135740182399. The next prime is 1135740182407. The reversal of 1135740182400 is 42810475311.

1135740182400 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 7 + 401 + 8 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135740182407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4986201 + ... + 5208999.

It is an arithmetic number, because the mean of its divisors is an integer number (11007712500).

Almost surely, 2^{1135740182400} is an apocalyptic number.

1135740182400 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 1135740182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113480800000).

1135740182400 is an abundant number, since it is smaller than the sum of its proper divisors (3091221417600).

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

1135740182400 is a wasteful number, since it uses less digits than its factorization.

1135740182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222891 (or 222868 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1135740182400 in words is "one trillion, one hundred thirty-five billion, seven hundred forty million, one hundred eighty-two thousand, four hundred".