264150820440 has 1280 divisors, whose sum is σ = 1067854233600. Its totient is φ = 57940033536.

The previous prime is 264150820429. The next prime is 264150820489. The reversal of 264150820440 is 44028051462.

264150820440 is a `hidden beast` number, since 2 + 64 + 150 + 8 + 2 + 0 + 440 = 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 = 264150820395 and 264150820404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2079927657 + ... + 2079927783.

It is an arithmetic number, because the mean of its divisors is an integer number (834261120).

Almost surely, 2^264150820440 is an apocalyptic number.

264150820440 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 264150820440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533927116800).

264150820440 is an abundant number, since it is smaller than the sum of its proper divisors (803703413160).

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

264150820440 is a wasteful number, since it uses less digits than its factorization.

264150820440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 264150820440 in words is "two hundred sixty-four billion, one hundred fifty million, eight hundred twenty thousand, four hundred forty".