19124951040 has 768 divisors, whose sum is σ = 77766998400. Its totient is φ = 4416602112.

The previous prime is 19124951039. The next prime is 19124951047. The reversal of 19124951040 is 4015942191.

It is a happy number.

19124951040 is a `hidden beast` number, since 19 + 124 + 9 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 19124950986 and 19124951004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19124951047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61101924 + ... + 61102236.

Almost surely, 2^19124951040 is an apocalyptic number.

19124951040 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 19124951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38883499200).

19124951040 is an abundant number, since it is smaller than the sum of its proper divisors (58642047360).

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

19124951040 is a wasteful number, since it uses less digits than its factorization.

19124951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 19124951040 in words is "nineteen billion, one hundred twenty-four million, nine hundred fifty-one thousand, forty".