36315221927040 has 4608 divisors, whose sum is σ = 171941817139200. Its totient is φ = 7077764136960.

The previous prime is 36315221927029. The next prime is 36315221927077. The reversal of 36315221927040 is 4072912251363.

It is a happy number.

36315221927040 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 522 + 19 + 2 + 70 + 40 = 666.

It is a super-2 number, since 2×36315221927040² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 772664296297 + ... + 772664296343.

It is an arithmetic number, because the mean of its divisors is an integer number (37313762400).

Almost surely, 2^{36315221927040} is an apocalyptic number.

36315221927040 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 36315221927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85970908569600).

36315221927040 is an abundant number, since it is smaller than the sum of its proper divisors (135626595212160).

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

36315221927040 is a wasteful number, since it uses less digits than its factorization.

36315221927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 36315221927040 in words is "thirty-six trillion, three hundred fifteen billion, two hundred twenty-one million, nine hundred twenty-seven thousand, forty".