19124411040 has 672 divisors, whose sum is σ = 78928940160. Its totient is φ = 4286380032.

The previous prime is 19124411003. The next prime is 19124411041. The reversal of 19124411040 is 4011442191.

19124411040 is a `hidden beast` number, since 191 + 24 + 411 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19124410995 and 19124411013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19124411041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48172122 + ... + 48172518.

It is an arithmetic number, because the mean of its divisors is an integer number (117453780).

Almost surely, 2^19124411040 is an apocalyptic number.

19124411040 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 19124411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39464470080).

19124411040 is an abundant number, since it is smaller than the sum of its proper divisors (59804529120).

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

19124411040 is an equidigital number, since it uses as much as digits as its factorization.

19124411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 19124411040 in words is "nineteen billion, one hundred twenty-four million, four hundred eleven thousand, forty".