19700029440 has 1344 divisors, whose sum is σ = 90232833600. Its totient is φ = 4013162496.

The previous prime is 19700029381. The next prime is 19700029463. The reversal of 19700029440 is 4492000791.

19700029440 is a `hidden beast` number, since 197 + 0 + 0 + 0 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 19700029395 and 19700029404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 679311346 + ... + 679311374.

It is an arithmetic number, because the mean of its divisors is an integer number (67137525).

Almost surely, 2^19700029440 is an apocalyptic number.

19700029440 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 19700029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45116416800).

19700029440 is an abundant number, since it is smaller than the sum of its proper divisors (70532804160).

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

19700029440 is an equidigital number, since it uses as much as digits as its factorization.

19700029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19700029440 in words is "nineteen billion, seven hundred million, twenty-nine thousand, four hundred forty".