464826126240 has 1152 divisors, whose sum is σ = 1952793722880. Its totient is φ = 98338406400.

The previous prime is 464826126209. The next prime is 464826126241. The reversal of 464826126240 is 42621628464.

464826126240 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 2 + 6 + 12 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (464826126241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2433644545 + ... + 2433644735.

It is an arithmetic number, because the mean of its divisors is an integer number (1695133440).

Almost surely, 2^464826126240 is an apocalyptic number.

464826126240 is a gapful number since it is divisible by the number (40) 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 464826126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976396861440).

464826126240 is an abundant number, since it is smaller than the sum of its proper divisors (1487967596640).

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

464826126240 is a wasteful number, since it uses less digits than its factorization.

464826126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 464826126240 in words is "four hundred sixty-four billion, eight hundred twenty-six million, one hundred twenty-six thousand, two hundred forty".