264821940311040 has 4224 divisors, whose sum is σ = 1164449243381760. Its totient is φ = 55865132974080.

The previous prime is 264821940311017. The next prime is 264821940311059. The reversal of 264821940311040 is 40113049128462.

264821940311040 is a `hidden beast` number, since 2 + 6 + 4 + 82 + 19 + 403 + 110 + 40 = 666.

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 383 ways as a sum of consecutive naturals, for example, 3190625786839 + ... + 3190625786921.

Almost surely, 2^{264821940311040} is an apocalyptic number.

264821940311040 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 264821940311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582224621690880).

264821940311040 is an abundant number, since it is smaller than the sum of its proper divisors (899627303070720).

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

264821940311040 is a wasteful number, since it uses less digits than its factorization.

264821940311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 264821940311040 in words is "two hundred sixty-four trillion, eight hundred twenty-one billion, nine hundred forty million, three hundred eleven thousand, forty".