36540541477440 has 4032 divisors, whose sum is σ = 182086828664832. Its totient is φ = 6507587174400.

The previous prime is 36540541477417. The next prime is 36540541477549. The reversal of 36540541477440 is 4477414504563.

36540541477440 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 0 + 54 + 147 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×36540541477440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52880667495 + ... + 52880668185.

It is an arithmetic number, because the mean of its divisors is an integer number (45160423776).

Almost surely, 2^{36540541477440} is an apocalyptic number.

36540541477440 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 36540541477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91043414332416).

36540541477440 is an abundant number, since it is smaller than the sum of its proper divisors (145546287187392).

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

36540541477440 is a wasteful number, since it uses less digits than its factorization.

36540541477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 36540541477440 in words is "thirty-six trillion, five hundred forty billion, five hundred forty-one million, four hundred seventy-seven thousand, four hundred forty".