1464242013276 has 192 divisors, whose sum is σ = 4043422623744. Its totient is φ = 403716096000.

The previous prime is 1464242013253. The next prime is 1464242013277. The reversal of 1464242013276 is 6723102424641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464242013277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701600305 + ... + 701602391.

It is an arithmetic number, because the mean of its divisors is an integer number (21059492832).

Almost surely, 2^{1464242013276} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464242013276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021711311872).

1464242013276 is an abundant number, since it is smaller than the sum of its proper divisors (2579180610468).

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

1464242013276 is a wasteful number, since it uses less digits than its factorization.

1464242013276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 1464242013276 in words is "one trillion, four hundred sixty-four billion, two hundred forty-two million, thirteen thousand, two hundred seventy-six".