1254740336640 has 2016 divisors, whose sum is σ = 5571939559680. Its totient is φ = 264868724736.

The previous prime is 1254740336621. The next prime is 1254740336651. The reversal of 1254740336640 is 466330474521.

1254740336640 is a `hidden beast` number, since 1 + 2 + 547 + 4 + 0 + 3 + 3 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43266908146 + ... + 43266908174.

Almost surely, 2^{1254740336640} is an apocalyptic number.

1254740336640 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 1254740336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785969779840).

1254740336640 is an abundant number, since it is smaller than the sum of its proper divisors (4317199223040).

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

1254740336640 is an frugal number, since it uses more digits than its factorization.

1254740336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 1254740336640 in words is "one trillion, two hundred fifty-four billion, seven hundred forty million, three hundred thirty-six thousand, six hundred forty".