19701995040 has 768 divisors, whose sum is σ = 88600780800. Its totient is φ = 3974344704.

The previous prime is 19701995003. The next prime is 19701995051. The reversal of 19701995040 is 4059910791.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 9040671 + ... + 9042849.

It is an arithmetic number, because the mean of its divisors is an integer number (115365600).

Almost surely, 2^19701995040 is an apocalyptic number.

19701995040 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 19701995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44300390400).

19701995040 is an abundant number, since it is smaller than the sum of its proper divisors (68898785760).

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

19701995040 is a wasteful number, since it uses less digits than its factorization.

19701995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 19701995040 in words is "nineteen billion, seven hundred one million, nine hundred ninety-five thousand, forty".