264440453142240 has 96 divisors (see below), whose sum is σ = 925541586012960. Its totient is φ = 70517454170112.

The previous prime is 264440453142197. The next prime is 264440453142317. The reversal of 264440453142240 is 42241354044462.

264440453142240 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 404 + 5 + 3 + 14 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 30606529609 + ... + 30606538248.

It is an arithmetic number, because the mean of its divisors is an integer number (9641058187635).

Almost surely, 2^{264440453142240} is an apocalyptic number.

264440453142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264440453142240 is an abundant number, since it is smaller than the sum of its proper divisors (661101132870720).

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

264440453142240 is a wasteful number, since it uses less digits than its factorization.

264440453142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61213067881 (or 61213067867 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 264440453142240 in words is "two hundred sixty-four trillion, four hundred forty billion, four hundred fifty-three million, one hundred forty-two thousand, two hundred forty".