36400442103648 has 288 divisors, whose sum is σ = 119127346228800. Its totient is φ = 10327556505600.

The previous prime is 36400442103629. The next prime is 36400442103703. The reversal of 36400442103648 is 84630124400463.

36400442103648 is a `hidden beast` number, since 3 + 6 + 40 + 0 + 442 + 103 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1290735948 + ... + 1290764148.

It is an arithmetic number, because the mean of its divisors is an integer number (413636618850).

Almost surely, 2^{36400442103648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36400442103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59563673114400).

36400442103648 is an abundant number, since it is smaller than the sum of its proper divisors (82726904125152).

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

36400442103648 is a wasteful number, since it uses less digits than its factorization.

36400442103648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32670 (or 32659 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 36400442103648 in words is "thirty-six trillion, four hundred billion, four hundred forty-two million, one hundred three thousand, six hundred forty-eight".