36440041764150 has 192 divisors, whose sum is σ = 100950090834240. Its totient is φ = 9665342668800.

The previous prime is 36440041764121. The next prime is 36440041764197. The reversal of 36440041764150 is 5146714004463.

36440041764150 is a `hidden beast` number, since 3 + 64 + 4 + 0 + 0 + 4 + 176 + 415 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36440041764096 and 36440041764105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655779290 + ... + 2655793010.

It is an arithmetic number, because the mean of its divisors is an integer number (525781723095).

Almost surely, 2^{36440041764150} is an apocalyptic number.

36440041764150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36440041764150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50475045417120).

36440041764150 is an abundant number, since it is smaller than the sum of its proper divisors (64510049070090).

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

36440041764150 is a wasteful number, since it uses less digits than its factorization.

36440041764150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24128 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 36440041764150 in words is "thirty-six trillion, four hundred forty billion, forty-one million, seven hundred sixty-four thousand, one hundred fifty".