1401998056704 has 1008 divisors, whose sum is σ = 5179518892800. Its totient is φ = 369712594944.

The previous prime is 1401998056703. The next prime is 1401998056721. The reversal of 1401998056704 is 4076508991041.

1401998056704 is a `hidden beast` number, since 1 + 401 + 99 + 80 + 5 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401998056703) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 871346652 + ... + 871348260.

It is an arithmetic number, because the mean of its divisors is an integer number (5138411600).

Almost surely, 2^{1401998056704} is an apocalyptic number.

1401998056704 is a gapful number since it is divisible by the number (14) 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 1401998056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589759446400).

1401998056704 is an abundant number, since it is smaller than the sum of its proper divisors (3777520836096).

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

1401998056704 is an equidigital number, since it uses as much as digits as its factorization.

1401998056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1401998056704 in words is "one trillion, four hundred one billion, nine hundred ninety-eight million, fifty-six thousand, seven hundred four".