1836961111440 has 1600 divisors, whose sum is σ = 8337173053440. Its totient is φ = 364006379520.

The previous prime is 1836961111417. The next prime is 1836961111451. The reversal of 1836961111440 is 441111696381.

It is a happy number.

1836961111440 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 96 + 1 + 111 + 440 = 666.

It is a super-2 number, since 2×1836961111440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1422897195 + ... + 1422898485.

Almost surely, 2^{1836961111440} is an apocalyptic number.

1836961111440 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 1836961111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168586526720).

1836961111440 is an abundant number, since it is smaller than the sum of its proper divisors (6500211942000).

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

1836961111440 is a wasteful number, since it uses less digits than its factorization.

1836961111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1836961111440 in words is "one trillion, eight hundred thirty-six billion, nine hundred sixty-one million, one hundred eleven thousand, four hundred forty".