191928440340 has 576 divisors, whose sum is σ = 757820044800. Its totient is φ = 38181777408.

The previous prime is 191928440303. The next prime is 191928440351. The reversal of 191928440340 is 43044829191.

191928440340 is a `hidden beast` number, since 1 + 9 + 192 + 84 + 40 + 340 = 666.

It is a super-2 number, since 2×191928440340² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71268034 + ... + 71270726.

It is an arithmetic number, because the mean of its divisors is an integer number (1315659800).

Almost surely, 2^191928440340 is an apocalyptic number.

191928440340 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 191928440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378910022400).

191928440340 is an abundant number, since it is smaller than the sum of its proper divisors (565891604460).

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

191928440340 is a wasteful number, since it uses less digits than its factorization.

191928440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 191928440340 in words is "one hundred ninety-one billion, nine hundred twenty-eight million, four hundred forty thousand, three hundred forty".