363195490775040 has 4368 divisors, whose sum is σ = 1676470334353056. Its totient is φ = 75266862612480.

The previous prime is 363195490774943. The next prime is 363195490775149. The reversal of 363195490775040 is 40577094591363.

It is a happy number.

363195490775040 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 9 + 54 + 9 + 0 + 77 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 973714452294 + ... + 973714452666.

Almost surely, 2^{363195490775040} is an apocalyptic number.

363195490775040 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 363195490775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838235167176528).

363195490775040 is an abundant number, since it is smaller than the sum of its proper divisors (1313274843578016).

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

363195490775040 is an frugal number, since it uses more digits than its factorization.

363195490775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 363195490775040 in words is "three hundred sixty-three trillion, one hundred ninety-five billion, four hundred ninety million, seven hundred seventy-five thousand, forty".