264254261440 has 224 divisors, whose sum is σ = 721703001600. Its totient is φ = 91296301056.

The previous prime is 264254261407. The next prime is 264254261441. The reversal of 264254261440 is 44162452462.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 264254261393 and 264254261402.

It is not an unprimeable number, because it can be changed into a prime (264254261441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12223761 + ... + 12245359.

It is an arithmetic number, because the mean of its divisors is an integer number (3221888400).

Almost surely, 2^264254261440 is an apocalyptic number.

264254261440 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 264254261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360851500800).

264254261440 is an abundant number, since it is smaller than the sum of its proper divisors (457448740160).

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

264254261440 is a wasteful number, since it uses less digits than its factorization.

264254261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21819 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 264254261440 in words is "two hundred sixty-four billion, two hundred fifty-four million, two hundred sixty-one thousand, four hundred forty".