1401083630856 has 640 divisors, whose sum is σ = 5200959456000. Its totient is φ = 341871280128.

The previous prime is 1401083630833. The next prime is 1401083630911. The reversal of 1401083630856 is 6580363801041.

1401083630856 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 8 + 3 + 630 + 8 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59133060 + ... + 59156748.

It is an arithmetic number, because the mean of its divisors is an integer number (8126499150).

Almost surely, 2^{1401083630856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401083630856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600479728000).

1401083630856 is an abundant number, since it is smaller than the sum of its proper divisors (3799875825144).

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

1401083630856 is a wasteful number, since it uses less digits than its factorization.

1401083630856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23803 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1401083630856 in words is "one trillion, four hundred one billion, eighty-three million, six hundred thirty thousand, eight hundred fifty-six".