1464264242560 has 256 divisors, whose sum is σ = 4194364032000. Its totient is φ = 477922959360.

The previous prime is 1464264242473. The next prime is 1464264242561. The reversal of 1464264242560 is 652424624641.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1464264242560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464264242561) 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, 21707766 + ... + 21775114.

It is an arithmetic number, because the mean of its divisors is an integer number (16384234500).

Almost surely, 2^{1464264242560} is an apocalyptic number.

1464264242560 is a gapful number since it is divisible by the number (10) 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 1464264242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097182016000).

1464264242560 is an abundant number, since it is smaller than the sum of its proper divisors (2730099789440).

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

1464264242560 is a wasteful number, since it uses less digits than its factorization.

1464264242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67609 (or 67597 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 1464264242560 in words is "one trillion, four hundred sixty-four billion, two hundred sixty-four million, two hundred forty-two thousand, five hundred sixty".