361221719040 has 528 divisors, whose sum is σ = 1540478005248. Its totient is φ = 76212928512.

The previous prime is 361221718993. The next prime is 361221719051. The reversal of 361221719040 is 40917122163.

361221719040 is a `hidden beast` number, since 3 + 612 + 21 + 7 + 19 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×361221719040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 361221718986 and 361221719004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4150209 + ... + 4236351.

Almost surely, 2^361221719040 is an apocalyptic number.

361221719040 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 361221719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770239002624).

361221719040 is an abundant number, since it is smaller than the sum of its proper divisors (1179256286208).

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

361221719040 is a wasteful number, since it uses less digits than its factorization.

361221719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86194 (or 86173 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 361221719040 in words is "three hundred sixty-one billion, two hundred twenty-one million, seven hundred nineteen thousand, forty".