1464100000000 has 405 divisors, whose sum is σ = 4018384173055. Its totient is φ = 532400000000.

The previous prime is 1464099999941. The next prime is 1464100000037. The reversal of 1464100000000 is 14641.

It is a happy number.

The square root of 1464100000000 is 1210000.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1040954953984 + 423145046016 = 1020272^2 + 650496^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 1464100000000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 133099999995 + ... + 133100000005.

Almost surely, 2^{1464100000000} is an apocalyptic number.

1464100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1464100000000 is the 1210000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464100000000

1464100000000 is an abundant number, since it is smaller than the sum of its proper divisors (2554284173055).

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

1464100000000 is an frugal number, since it uses more digits than its factorization.

1464100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 1464100000000 by its sum of digits (16), we get a 4-th power (23425600000000 = 2200⁴).

1464100000000 divided by its sum of digits (16) gives a 4-th power (91506250000 = 550⁴).

Adding to 1464100000000 its reverse (14641), we get a palindrome (1464100014641).

1464100000000 divided by its reverse (14641) gives a 8-th power (100000000 = 10⁸).

The spelling of 1464100000000 in words is "one trillion, four hundred sixty-four billion, one hundred million", and thus it is an aban number.