360401640240 has 80 divisors (see below), whose sum is σ = 1132980984576. Its totient is φ = 94753478400.

The previous prime is 360401640233. The next prime is 360401640289. The reversal of 360401640240 is 42046104063.

360401640240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 360401640198 and 360401640207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10558126 + ... + 10592205.

Almost surely, 2^360401640240 is an apocalyptic number.

360401640240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360401640240 is an abundant number, since it is smaller than the sum of its proper divisors (772579344336).

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

360401640240 is a wasteful number, since it uses less digits than its factorization.

360401640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21150418 (or 21150412 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 360401640240 in words is "three hundred sixty billion, four hundred one million, six hundred forty thousand, two hundred forty".