19401742080 has 1296 divisors, whose sum is σ = 86514180480. Its totient is φ = 4138573824.

The previous prime is 19401742067. The next prime is 19401742111. The reversal of 19401742080 is 8024710491.

It is a tau number, because it is divible by the number of its divisors (1296).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 289578207 + ... + 289578273.

Almost surely, 2^19401742080 is an apocalyptic number.

19401742080 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 19401742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43257090240).

19401742080 is an abundant number, since it is smaller than the sum of its proper divisors (67112438400).

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

19401742080 is an equidigital number, since it uses as much as digits as its factorization.

19401742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 19401742080 in words is "nineteen billion, four hundred one million, seven hundred forty-two thousand, eighty".