19901027040 has 96 divisors (see below), whose sum is σ = 62714010240. Its totient is φ = 5304758784.

The previous prime is 19901026973. The next prime is 19901027171. The reversal of 19901027040 is 4072010991.

It is a Cunningham number, because it is equal to 141071²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19901027040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19901026992 and 19901027010.

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 15 ways as a sum of consecutive naturals, for example, 1403667 + ... + 1417773.

It is an arithmetic number, because the mean of its divisors is an integer number (653270940).

Almost surely, 2^19901027040 is an apocalyptic number.

19901027040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19901027040 is an abundant number, since it is smaller than the sum of its proper divisors (42812983200).

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

19901027040 is a wasteful number, since it uses less digits than its factorization.

19901027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17064 (or 17056 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 19901027040 in words is "nineteen billion, nine hundred one million, twenty-seven thousand, forty".