1456674642040 has 64 divisors (see below), whose sum is σ = 3370021077600. Its totient is φ = 566261549568.

The previous prime is 1456674642029. The next prime is 1456674642061. The reversal of 1456674642040 is 402464766541.

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 15 ways as a sum of consecutive naturals, for example, 698422 + ... + 1844218.

Almost surely, 2^{1456674642040} is an apocalyptic number.

1456674642040 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 1456674642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685010538800).

1456674642040 is an abundant number, since it is smaller than the sum of its proper divisors (1913346435560).

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

1456674642040 is a wasteful number, since it uses less digits than its factorization.

1456674642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146704 (or 1146700 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 1456674642040 in words is "one trillion, four hundred fifty-six billion, six hundred seventy-four million, six hundred forty-two thousand, forty".