1401062450560 has 256 divisors, whose sum is σ = 3527693337600. Its totient is φ = 531076423680.

The previous prime is 1401062450527. The next prime is 1401062450597. The reversal of 1401062450560 is 650542601041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765188845 + ... + 765190675.

It is an arithmetic number, because the mean of its divisors is an integer number (13780052100).

Almost surely, 2^{1401062450560} is an apocalyptic number.

1401062450560 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 1401062450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763846668800).

1401062450560 is an abundant number, since it is smaller than the sum of its proper divisors (2126630887040).

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

1401062450560 is a wasteful number, since it uses less digits than its factorization.

1401062450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 1401062450560 in words is "one trillion, four hundred one billion, sixty-two million, four hundred fifty thousand, five hundred sixty".