19950416640 has 1728 divisors, whose sum is σ = 96424473600. Its totient is φ = 3901685760.

The previous prime is 19950416627. The next prime is 19950416641. The reversal of 19950416640 is 4661405991.

It is a happy number.

19950416640 is a `hidden beast` number, since 1 + 99 + 504 + 16 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (19950416641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1173553912 + ... + 1173553928.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^19950416640 is an apocalyptic number.

19950416640 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 19950416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48212236800).

19950416640 is an abundant number, since it is smaller than the sum of its proper divisors (76474056960).

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

19950416640 is an equidigital number, since it uses as much as digits as its factorization.

19950416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19950416640 in words is "nineteen billion, nine hundred fifty million, four hundred sixteen thousand, six hundred forty".