36103213440 has 384 divisors, whose sum is σ = 142780921920. Its totient is φ = 8234680320.

The previous prime is 36103213439. The next prime is 36103213457. The reversal of 36103213440 is 4431230163.

36103213440 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 3 + 213 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35360130 + ... + 35361150.

Almost surely, 2^36103213440 is an apocalyptic number.

36103213440 is a gapful number since it is divisible by the number (30) 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 36103213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71390460960).

36103213440 is an abundant number, since it is smaller than the sum of its proper divisors (106677708480).

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

36103213440 is a wasteful number, since it uses less digits than its factorization.

36103213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 36103213440 in words is "thirty-six billion, one hundred three million, two hundred thirteen thousand, four hundred forty".