1456265340420 has 96 divisors (see below), whose sum is σ = 4450688557056. Its totient is φ = 352838793600.

The previous prime is 1456265340407. The next prime is 1456265340421. The reversal of 1456265340420 is 240435626541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1456265340421) 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, 586077 + ... + 1804443.

It is an arithmetic number, because the mean of its divisors is an integer number (46361339136).

Almost surely, 2^{1456265340420} is an apocalyptic number.

1456265340420 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 1456265340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225344278528).

1456265340420 is an abundant number, since it is smaller than the sum of its proper divisors (2994423216636).

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

1456265340420 is a wasteful number, since it uses less digits than its factorization.

1456265340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220201 (or 1220199 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 1456265340420 in words is "one trillion, four hundred fifty-six billion, two hundred sixty-five million, three hundred forty thousand, four hundred twenty".