1254412002400 has 72 divisors (see below), whose sum is σ = 3108039900840. Its totient is φ = 494275752960.

The previous prime is 1254412002391. The next prime is 1254412002427. The reversal of 1254412002400 is 42002144521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11648005 + ... + 11755204.

It is an arithmetic number, because the mean of its divisors is an integer number (43167220845).

Almost surely, 2^{1254412002400} is an apocalyptic number.

1254412002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254412002400 is an abundant number, since it is smaller than the sum of its proper divisors (1853627898440).

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

1254412002400 is a wasteful number, since it uses less digits than its factorization.

1254412002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23403296 (or 23403283 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1254412002400 its reverse (42002144521), we get a palindrome (1296414146921).

The spelling of 1254412002400 in words is "one trillion, two hundred fifty-four billion, four hundred twelve million, two thousand, four hundred".