1456140000 has 240 divisors, whose sum is σ = 5460352128. Its totient is φ = 332736000.

The previous prime is 1456139987. The next prime is 1456140013. The reversal of 1456140000 is 416541.

It is an interprime number because it is at equal distance from previous prime (1456139987) and next prime (1456140013).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 418267 + ... + 421733.

Almost surely, 2^1456140000 is an apocalyptic number.

1456140000 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 1456140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730176064).

1456140000 is an abundant number, since it is smaller than the sum of its proper divisors (4004212128).

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

1456140000 is an equidigital number, since it uses as much as digits as its factorization.

1456140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1456140000 is about 38159.4025110457. The cubic root of 1456140000 is about 1133.4465477058.

Adding to 1456140000 its reverse (416541), we get a palindrome (1456556541).

The spelling of 1456140000 in words is "one billion, four hundred fifty-six million, one hundred forty thousand".