1254420420240 has 160 divisors (see below), whose sum is σ = 4332242718720. Its totient is φ = 298132789248.

The previous prime is 1254420420181. The next prime is 1254420420293. The reversal of 1254420420240 is 420240244521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1254420420198 and 1254420420207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6841552 + ... + 7022511.

It is an arithmetic number, because the mean of its divisors is an integer number (27076516992).

Almost surely, 2^{1254420420240} is an apocalyptic number.

1254420420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254420420240 is an abundant number, since it is smaller than the sum of its proper divisors (3077822298480).

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

1254420420240 is a wasteful number, since it uses less digits than its factorization.

1254420420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864121 (or 13864115 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 1254420420240 its reverse (420240244521), we get a palindrome (1674660664761).

The spelling of 1254420420240 in words is "one trillion, two hundred fifty-four billion, four hundred twenty million, four hundred twenty thousand, two hundred forty".