425264688462240 has 240 divisors, whose sum is σ = 1637269051128480. Its totient is φ = 103094469895680.

The previous prime is 425264688462209. The next prime is 425264688462277. The reversal of 425264688462240 is 42264886462524.

425264688462240 is a `hidden beast` number, since 4 + 2 + 52 + 6 + 4 + 6 + 88 + 462 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1491386230 + ... + 1491671349.

It is an arithmetic number, because the mean of its divisors is an integer number (6821954379702).

Almost surely, 2^{425264688462240} is an apocalyptic number.

425264688462240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425264688462240 is an abundant number, since it is smaller than the sum of its proper divisors (1212004362666240).

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

425264688462240 is a wasteful number, since it uses less digits than its factorization.

425264688462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983057617 (or 2983057600 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 63.

The spelling of 425264688462240 in words is "four hundred twenty-five trillion, two hundred sixty-four billion, six hundred eighty-eight million, four hundred sixty-two thousand, two hundred forty".