365248266240 has 960 divisors, whose sum is σ = 1447997322240. Its totient is φ = 77290536960.

The previous prime is 365248266217. The next prime is 365248266281. The reversal of 365248266240 is 42662842563.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 365248266240.

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 63 ways as a sum of consecutive naturals, for example, 667729647 + ... + 667730193.

It is an arithmetic number, because the mean of its divisors is an integer number (1508330544).

Almost surely, 2^365248266240 is an apocalyptic number.

365248266240 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 365248266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723998661120).

365248266240 is an abundant number, since it is smaller than the sum of its proper divisors (1082749056000).

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

365248266240 is a wasteful number, since it uses less digits than its factorization.

365248266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 365248266240 in words is "three hundred sixty-five billion, two hundred forty-eight million, two hundred sixty-six thousand, two hundred forty".