263246142240 has 384 divisors, whose sum is σ = 960023715840. Its totient is φ = 67295923200.

The previous prime is 263246142227. The next prime is 263246142241. The reversal of 263246142240 is 42241642362.

263246142240 is a `hidden beast` number, since 2 + 6 + 32 + 4 + 614 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 263246142195 and 263246142204.

It is not an unprimeable number, because it can be changed into a prime (263246142241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14320255 + ... + 14338625.

It is an arithmetic number, because the mean of its divisors is an integer number (2500061760).

Almost surely, 2^263246142240 is an apocalyptic number.

263246142240 is a gapful number since it is divisible by the number (20) 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 263246142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480011857920).

263246142240 is an abundant number, since it is smaller than the sum of its proper divisors (696777573600).

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

263246142240 is a wasteful number, since it uses less digits than its factorization.

263246142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18533 (or 18519 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 263246142240 in words is "two hundred sixty-three billion, two hundred forty-six million, one hundred forty-two thousand, two hundred forty".