361020013416 has 128 divisors (see below), whose sum is σ = 1012749004800. Its totient is φ = 119155320000.

The previous prime is 361020013399. The next prime is 361020013433. The reversal of 361020013416 is 614310020163.

361020013416 is a `hidden beast` number, since 3 + 610 + 2 + 0 + 0 + 1 + 3 + 41 + 6 = 666.

361020013416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (361020013399) and next prime (361020013433).

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

It is a self number, because there is not a number n which added to its sum of digits gives 361020013416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10125781 + ... + 10161371.

It is an arithmetic number, because the mean of its divisors is an integer number (7912101600).

Almost surely, 2^361020013416 is an apocalyptic number.

361020013416 is a gapful number since it is divisible by the number (36) 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 361020013416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506374502400).

361020013416 is an abundant number, since it is smaller than the sum of its proper divisors (651728991384).

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

361020013416 is a wasteful number, since it uses less digits than its factorization.

361020013416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36068 (or 36058 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 361020013416 its reverse (614310020163), we get a palindrome (975330033579).

The spelling of 361020013416 in words is "three hundred sixty-one billion, twenty million, thirteen thousand, four hundred sixteen".