4024264646240 has 48 divisors (see below), whose sum is σ = 9668466354960. Its totient is φ = 1582422704640.

The previous prime is 4024264646191. The next prime is 4024264646257. The reversal of 4024264646240 is 426464624204.

It is a super-2 number, since 2×4024264646240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024264646191 and 4024264646200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213140171 + ... + 213159050.

It is an arithmetic number, because the mean of its divisors is an integer number (201426382395).

Almost surely, 2^{4024264646240} is an apocalyptic number.

4024264646240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024264646240 is an abundant number, since it is smaller than the sum of its proper divisors (5644201708720).

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

4024264646240 is a wasteful number, since it uses less digits than its factorization.

4024264646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426299295 (or 426299287 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

The spelling of 4024264646240 in words is "four trillion, twenty-four billion, two hundred sixty-four million, six hundred forty-six thousand, two hundred forty".