1254898267440 has 320 divisors, whose sum is σ = 4000749649920. Its totient is φ = 325274987520.

The previous prime is 1254898267433. The next prime is 1254898267457. The reversal of 1254898267440 is 447628984521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624016035 + ... + 624018045.

It is an arithmetic number, because the mean of its divisors is an integer number (12502342656).

Almost surely, 2^{1254898267440} is an apocalyptic number.

1254898267440 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 1254898267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000374824960).

1254898267440 is an abundant number, since it is smaller than the sum of its proper divisors (2745851382480).

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

1254898267440 is a wasteful number, since it uses less digits than its factorization.

1254898267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 1254898267440 in words is "one trillion, two hundred fifty-four billion, eight hundred ninety-eight million, two hundred sixty-seven thousand, four hundred forty".