1135413417600 has 3072 divisors, whose sum is σ = 5476078080000. Its totient is φ = 230443315200.

The previous prime is 1135413417529. The next prime is 1135413417601. The reversal of 1135413417600 is 67143145311.

1135413417600 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 1 + 3 + 41 + 7 + 600 = 666.

It is a super-2 number, since 2×1135413417600² (a number of 25 digits) contains 22 as substring.

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 (1135413417601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26404963179 + ... + 26404963221.

It is an arithmetic number, because the mean of its divisors is an integer number (1782577500).

Almost surely, 2^{1135413417600} is an apocalyptic number.

1135413417600 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 1135413417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738039040000).

1135413417600 is an abundant number, since it is smaller than the sum of its proper divisors (4340664662400).

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

1135413417600 is an frugal number, since it uses more digits than its factorization.

1135413417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1135413417600 in words is "one trillion, one hundred thirty-five billion, four hundred thirteen million, four hundred seventeen thousand, six hundred".