1301428257408 has 192 divisors, whose sum is σ = 3762984962880. Its totient is φ = 431729049600.

The previous prime is 1301428257407. The next prime is 1301428257413. The reversal of 1301428257408 is 8047528241031.

1301428257408 is a `hidden beast` number, since 1 + 30 + 1 + 42 + 8 + 2 + 574 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1301428257407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485063235 + ... + 485065917.

It is an arithmetic number, because the mean of its divisors is an integer number (19598880015).

Almost surely, 2^{1301428257408} is an apocalyptic number.

1301428257408 is a gapful number since it is divisible by the number (18) 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 1301428257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881492481440).

1301428257408 is an abundant number, since it is smaller than the sum of its proper divisors (2461556705472).

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

1301428257408 is a wasteful number, since it uses less digits than its factorization.

1301428257408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1301428257408 in words is "one trillion, three hundred one billion, four hundred twenty-eight million, two hundred fifty-seven thousand, four hundred eight".