191229287040 has 384 divisors, whose sum is σ = 730532649600. Its totient is φ = 45704601600.

The previous prime is 191229286999. The next prime is 191229287059. The reversal of 191229287040 is 40782922191.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4477306 + ... + 4519814.

It is an arithmetic number, because the mean of its divisors is an integer number (1902428775).

Almost surely, 2^191229287040 is an apocalyptic number.

191229287040 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 191229287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365266324800).

191229287040 is an abundant number, since it is smaller than the sum of its proper divisors (539303362560).

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

191229287040 is a wasteful number, since it uses less digits than its factorization.

191229287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42616 (or 42601 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 191229287040 in words is "one hundred ninety-one billion, two hundred twenty-nine million, two hundred eighty-seven thousand, forty".