1401059282130 has 96 divisors (see below), whose sum is σ = 3857514289200. Its totient is φ = 351594602496.

The previous prime is 1401059282111. The next prime is 1401059282173. The reversal of 1401059282130 is 312829501041.

1401059282130 is a `hidden beast` number, since 1 + 4 + 0 + 10 + 592 + 8 + 21 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1276970060961 + 124089221169 = 1130031^2 + 352263^2 .

It is a super-3 number, since 3×1401059282130³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 13241476 + ... + 13346864.

Almost surely, 2^{1401059282130} is an apocalyptic number.

1401059282130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1401059282130 is an abundant number, since it is smaller than the sum of its proper divisors (2456455007070).

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

1401059282130 is a wasteful number, since it uses less digits than its factorization.

1401059282130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114108 (or 114105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1401059282130 in words is "one trillion, four hundred one billion, fifty-nine million, two hundred eighty-two thousand, one hundred thirty".