1136415651840 has 1728 divisors, whose sum is σ = 4931450203680. Its totient is φ = 240459448320.

The previous prime is 1136415651809. The next prime is 1136415651871. The reversal of 1136415651840 is 481565146311.

1136415651840 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 1 + 565 + 1 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1136415651809) and next prime (1136415651871).

It is a super-3 number, since 3×1136415651840³ (a number of 37 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 8674928575 + ... + 8674928705.

Almost surely, 2^{1136415651840} is an apocalyptic number.

1136415651840 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 1136415651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465725101840).

1136415651840 is an abundant number, since it is smaller than the sum of its proper divisors (3795034551840).

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

1136415651840 is a wasteful number, since it uses less digits than its factorization.

1136415651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1136415651840 in words is "one trillion, one hundred thirty-six billion, four hundred fifteen million, six hundred fifty-one thousand, eight hundred forty".