1254268055040 has 2560 divisors, whose sum is σ = 5870984232960. Its totient is φ = 219768422400.

The previous prime is 1254268054969. The next prime is 1254268055099. The reversal of 1254268055040 is 405508624521.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1254268054983 and 1254268055001.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 4528043382 + ... + 4528043658.

It is an arithmetic number, because the mean of its divisors is an integer number (2293353216).

Almost surely, 2^{1254268055040} is an apocalyptic number.

1254268055040 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 1254268055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935492116480).

1254268055040 is an abundant number, since it is smaller than the sum of its proper divisors (4616716177920).

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

1254268055040 is a wasteful number, since it uses less digits than its factorization.

1254268055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 1254268055040 in words is "one trillion, two hundred fifty-four billion, two hundred sixty-eight million, fifty-five thousand, forty".