1014243927840 has 3456 divisors, whose sum is σ = 4892870707200. Its totient is φ = 193571389440.

The previous prime is 1014243927839. The next prime is 1014243927841. The reversal of 1014243927840 is 487293424101.

1014243927840 is a `hidden beast` number, since 1 + 0 + 142 + 439 + 2 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1014243927839) and next prime (1014243927841).

It is a super-2 number, since 2×1014243927840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1014243927841) 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 575 ways as a sum of consecutive naturals, for example, 44097562069 + ... + 44097562091.

It is an arithmetic number, because the mean of its divisors is an integer number (1415761200).

Almost surely, 2^{1014243927840} is an apocalyptic number.

1014243927840 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 1014243927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446435353600).

1014243927840 is an abundant number, since it is smaller than the sum of its proper divisors (3878626779360).

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

1014243927840 is a wasteful number, since it uses less digits than its factorization.

1014243927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1014243927840 in words is "one trillion, fourteen billion, two hundred forty-three million, nine hundred twenty-seven thousand, eight hundred forty".