361117440 has 324 divisors, whose sum is σ = 1327590264. Its totient is φ = 94058496.

The previous prime is 361117409. The next prime is 361117441. The reversal of 361117440 is 44711163.

It is a happy number.

361117440 is a `hidden beast` number, since 3 + 611 + 1 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361117441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8398059 + ... + 8398101.

Almost surely, 2^361117440 is an apocalyptic number.

361117440 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 361117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663795132).

361117440 is an abundant number, since it is smaller than the sum of its proper divisors (966472824).

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

361117440 is an frugal number, since it uses more digits than its factorization.

361117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 361117440 is about 19003.0902750053. The cubic root of 361117440 is about 712.1139404405.

The spelling of 361117440 in words is "three hundred sixty-one million, one hundred seventeen thousand, four hundred forty".