19421413000704 has 1920 divisors, whose sum is σ = 72389116800000. Its totient is φ = 4922069483520.

The previous prime is 19421413000681. The next prime is 19421413000727. The reversal of 19421413000704 is 40700031412491.

It is an interprime number because it is at equal distance from previous prime (19421413000681) and next prime (19421413000727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54098643277 + ... + 54098643635.

It is an arithmetic number, because the mean of its divisors is an integer number (37702665000).

Almost surely, 2^{19421413000704} 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 19421413000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36194558400000).

19421413000704 is an abundant number, since it is smaller than the sum of its proper divisors (52967703799296).

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

19421413000704 is a wasteful number, since it uses less digits than its factorization.

19421413000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 19421413000704 in words is "nineteen trillion, four hundred twenty-one billion, four hundred thirteen million, seven hundred four", and thus it is an aban number.