36914145841440 has 384 divisors, whose sum is σ = 147666880811520. Its totient is φ = 8436930637824.

The previous prime is 36914145841429. The next prime is 36914145841471. The reversal of 36914145841440 is 4414854141963.

36914145841440 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 4 + 1 + 4 + 584 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551937282 + ... + 552004158.

It is an arithmetic number, because the mean of its divisors is an integer number (384549168780).

Almost surely, 2^{36914145841440} is an apocalyptic number.

36914145841440 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 36914145841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73833440405760).

36914145841440 is an abundant number, since it is smaller than the sum of its proper divisors (110752734970080).

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

36914145841440 is a wasteful number, since it uses less digits than its factorization.

36914145841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85161 (or 85147 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 36914145841440 in words is "thirty-six trillion, nine hundred fourteen billion, one hundred forty-five million, eight hundred forty-one thousand, four hundred forty".