263314416420 has 144 divisors (see below), whose sum is σ = 874804432320. Its totient is φ = 63579360000.

The previous prime is 263314416371. The next prime is 263314416433. The reversal of 263314416420 is 24614413362.

263314416420 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 1 + 4 + 4 + 1 + 642 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232066 + ... + 761894.

It is an arithmetic number, because the mean of its divisors is an integer number (6075030780).

Almost surely, 2^263314416420 is an apocalyptic number.

263314416420 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 263314416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437402216160).

263314416420 is an abundant number, since it is smaller than the sum of its proper divisors (611490015900).

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

263314416420 is a wasteful number, since it uses less digits than its factorization.

263314416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530106 (or 530101 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 263314416420 its reverse (24614413362), we get a palindrome (287928829782).

The spelling of 263314416420 in words is "two hundred sixty-three billion, three hundred fourteen million, four hundred sixteen thousand, four hundred twenty".