19401940 has 48 divisors (see below), whose sum is σ = 42032592. Its totient is φ = 7520256.

The previous prime is 19401937. The next prime is 19401961. The reversal of 19401940 is 4910491.

It can be written as a sum of positive squares in 8 ways, for example, as 6724 + 19395216 = 82^2 + 4404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19401899 and 19401908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141552 + ... + 141688.

It is an arithmetic number, because the mean of its divisors is an integer number (875679).

Almost surely, 2^19401940 is an apocalyptic number.

19401940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19401940 is an abundant number, since it is smaller than the sum of its proper divisors (22630652).

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

19401940 is a wasteful number, since it uses less digits than its factorization.

19401940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 19401940 is about 4404.7633307591. The cubic root of 19401940 is about 268.7086945713.

The spelling of 19401940 in words is "nineteen million, four hundred one thousand, nine hundred forty".